﻿30:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La racionalización es una operación matemática que consiste en eliminar los :@0.287490:0.150300:0.907617:0.150300:0.907617:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales del denominador de una fracción. Se utiliza para simplificar una expresión y :@0.287490:0.166897:0.907691:0.166897:0.907691:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacerla más manejable y fácil de trabajar.:@0.287490:0.183493:0.587284:0.183493:0.587284:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La racionalización es una operación fundamental en matemáticas y tiene diversas :@0.287490:0.207212:0.907726:0.207212:0.907726:0.190823:0.287490:0.190823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones en el cálculo de operaciones, como la suma o resta de fracciones.:@0.287490:0.223808:0.859055:0.223808:0.859055:0.207419:0.287490:0.207419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La racionalización de una expresión fraccionaria es el procedimiento mediante el :@0.287490:0.247527:0.907672:0.247527:0.907672:0.231138:0.287490:0.231138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cual se logra :@0.287490:0.264124:0.383073:0.264124:0.383073:0.247735:0.287490:0.247735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transformar:@0.383073:0.264124:0.473147:0.264124:0.473147:0.247500:0.383073:0.247500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el denominador en un número racional.:@0.473147:0.264124:0.769331:0.264124:0.769331:0.247735:0.473147:0.247735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionalización de monomios:@0.287495:0.304022:0.589856:0.304022:0.589856:0.282512:0.287495:0.282512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  Cuando el radical es de índice 2:@0.287495:0.333932:0.559533:0.333932:0.559533:0.317031:0.287495:0.317031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos.:@0.311239:0.357651:0.381410:0.357651:0.381410:0.341013:0.311239:0.341013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Observemos diferentes ejemplos de racionalización.:@0.381410:0.357651:0.766695:0.357651:0.766695:0.341262:0.381410:0.341262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.311230:0.393941:0.328405:0.393941:0.328405:0.377317:0.311230:0.377317:0.000000:0.000000:0.000000
:@0.557635:0.407289:0.564162:0.407289:0.564162:0.391874:0.557635:0.391874:0.000000
:@0.354445:0.409024:0.374506:0.409024:0.374506:0.393610:0.354445:0.393610:0.000000
=:@0.398621:0.394716:0.408333:0.394716:0.408333:0.379766:0.398621:0.379766:0.000000
⋅:@0.437469:0.394716:0.441892:0.394716:0.441892:0.379766:0.437469:0.379766:0.000000
=:@0.470444:0.394716:0.480156:0.394716:0.480156:0.379766:0.470444:0.379766:0.000000
=:@0.518598:0.394716:0.528310:0.394716:0.528310:0.379766:0.518598:0.379766:0.000000
5:@0.360374:0.385462:0.369007:0.385462:0.369007:0.369729:0.360374:0.369729:0.000000
3:@0.365699:0.404807:0.374332:0.404807:0.374332:0.389074:0.365699:0.389074:0.000000
5:@0.419566:0.385462:0.428199:0.385462:0.428199:0.369729:0.419566:0.369729:0.000000
3:@0.424891:0.404807:0.433524:0.404807:0.433524:0.389074:0.424891:0.389074:0.000000
3:@0.456610:0.385462:0.465243:0.385462:0.465243:0.369729:0.456610:0.369729:0.000000
3:@0.456610:0.404807:0.465243:0.404807:0.465243:0.389074:0.456610:0.389074:0.000000
53:@0.484703:0.385462:0.513397:0.385462:0.513397:0.369729:0.484703:0.369729:0.000000:0.000000
9:@0.500341:0.404807:0.508974:0.404807:0.508974:0.389074:0.500341:0.389074:0.000000
53:@0.546231:0.385462:0.574925:0.385462:0.574925:0.369729:0.546231:0.369729:0.000000:0.000000
3:@0.556933:0.404130:0.565566:0.404130:0.565566:0.388396:0.556933:0.388396:0.000000
.:@0.591164:0.394052:0.594243:0.394052:0.594243:0.378319:0.591164:0.378319:0.000000
deno:@0.335045:0.416773:0.354696:0.416773:0.354696:0.408208:0.335045:0.408208:0.000000:0.000000:0.000000:0.000000
ador:@0.371479:0.416773:0.389800:0.416773:0.389800:0.408208:0.371479:0.408208:0.000000:0.000000:0.000000:0.000000
deno:@0.533355:0.415034:0.553010:0.415034:0.553010:0.406469:0.533355:0.406469:0.000000:0.000000:0.000000:0.000000
ador:@0.569793:0.415034:0.588114:0.415034:0.588114:0.406469:0.569793:0.406469:0.000000:0.000000:0.000000:0.000000
racional:@0.533355:0.422728:0.564667:0.422728:0.564667:0.414164:0.533355:0.414164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
min:@0.355096:0.416765:0.370997:0.416765:0.370997:0.407647:0.355096:0.407647:0.000000:0.000000:0.000000
irracional:@0.334643:0.424467:0.370984:0.424467:0.370984:0.415349:0.334643:0.415349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
min:@0.553417:0.415041:0.569318:0.415041:0.569318:0.405923:0.553417:0.405923:0.000000:0.000000:0.000000
  :@0.613072:0.393953:0.621143:0.393953:0.621143:0.377564:0.613072:0.377564:0.000000:0.000000
2.:@0.621143:0.393953:0.634411:0.393953:0.634411:0.377329:0.621143:0.377329:0.000000:0.000000
=:@0.687568:0.393006:0.697280:0.393006:0.697280:0.378056:0.687568:0.378056:0.000000
⋅:@0.734855:0.393006:0.739277:0.393006:0.739277:0.378056:0.734855:0.378056:0.000000
=:@0.768237:0.393006:0.777949:0.393006:0.777949:0.378056:0.768237:0.378056:0.000000
⋅:@0.795427:0.403084:0.799850:0.403084:0.799850:0.388134:0.795427:0.388134:0.000000
=:@0.817133:0.393006:0.826845:0.393006:0.826845:0.378056:0.817133:0.378056:0.000000
7:@0.663650:0.383752:0.672283:0.383752:0.672283:0.368019:0.663650:0.368019:0.000000
32:@0.653301:0.403097:0.681995:0.403097:0.681995:0.387364:0.653301:0.387364:0.000000:0.000000
7:@0.712211:0.383752:0.720844:0.383752:0.720844:0.368019:0.712211:0.368019:0.000000
32:@0.701862:0.403097:0.730556:0.403097:0.730556:0.387364:0.701862:0.387364:0.000000:0.000000
2:@0.754031:0.383752:0.762664:0.383752:0.762664:0.368019:0.754031:0.368019:0.000000
2:@0.754031:0.403097:0.762664:0.403097:0.762664:0.387364:0.754031:0.387364:0.000000
72:@0.782124:0.383752:0.811561:0.383752:0.811561:0.368019:0.782124:0.368019:0.000000:0.000000
32:@0.785697:0.402420:0.809809:0.402420:0.809809:0.386687:0.785697:0.386687:0.000000:0.000000
72:@0.831038:0.383752:0.860475:0.383752:0.860475:0.368019:0.831038:0.368019:0.000000:0.000000
6:@0.842342:0.402420:0.850975:0.402420:0.850975:0.386687:0.842342:0.386687:0.000000
.:@0.863801:0.392343:0.866879:0.392343:0.866879:0.376609:0.863801:0.376609:0.000000
3. :@0.311239:0.457331:0.328413:0.457331:0.328413:0.440707:0.311239:0.440707:0.000000:0.000000:0.000000
=:@0.375921:0.500285:0.386038:0.500285:0.386038:0.484712:0.375921:0.484712:0.000000
=:@0.433029:0.500285:0.443145:0.500285:0.443145:0.484712:0.433029:0.484712:0.000000
=:@0.484349:0.500285:0.494466:0.500285:0.494466:0.484712:0.484349:0.484712:0.000000
⋅:@0.534344:0.500285:0.538951:0.500285:0.538951:0.484712:0.534344:0.484712:0.000000
=:@0.569835:0.500285:0.579952:0.500285:0.579952:0.484712:0.569835:0.484712:0.000000
=:@0.629578:0.500285:0.639694:0.500285:0.639694:0.484712:0.629578:0.484712:0.000000
⋅:@0.658104:0.510782:0.662711:0.510782:0.662711:0.495209:0.658104:0.495209:0.000000
=:@0.681654:0.500285:0.691771:0.500285:0.691771:0.484712:0.681654:0.484712:0.000000
9:@0.357075:0.449119:0.366068:0.449119:0.366068:0.432730:0.357075:0.432730:0.000000
54:@0.358016:0.469275:0.375799:0.469275:0.375799:0.452886:0.358016:0.452886:0.000000:0.000000
;pararacionalizar, primeroextraefactoresdel radical.:@0.380793:0.458072:0.759020:0.458072:0.759020:0.441684:0.380793:0.441684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.350627:0.490643:0.359620:0.490643:0.359620:0.474254:0.350627:0.474254:0.000000
54:@0.351567:0.510794:0.369349:0.510794:0.369349:0.494405:0.351567:0.494405:0.000000:0.000000
9:@0.405062:0.490643:0.414055:0.490643:0.414055:0.474254:0.405062:0.474254:0.000000
36:@0.403300:0.512652:0.426850:0.512652:0.426850:0.496263:0.403300:0.496263:0.000000:0.000000
9:@0.459264:0.490649:0.468257:0.490649:0.468257:0.474260:0.459264:0.474260:0.000000
36:@0.447913:0.510800:0.478153:0.510800:0.478153:0.494411:0.447913:0.494411:0.000000:0.000000
9:@0.510585:0.490649:0.519578:0.490649:0.519578:0.474260:0.510585:0.474260:0.000000
36:@0.499234:0.510800:0.529474:0.510800:0.529474:0.494411:0.499234:0.494411:0.000000:0.000000
6:@0.554683:0.490649:0.563675:0.490649:0.563675:0.474260:0.554683:0.474260:0.000000
6:@0.554683:0.510800:0.563675:0.510800:0.563675:0.494411:0.554683:0.494411:0.000000
96:@0.588553:0.490649:0.619585:0.490649:0.619585:0.474260:0.588553:0.474260:0.000000:0.000000
336:@0.584738:0.510800:0.623418:0.510800:0.623418:0.494411:0.584738:0.494411:0.000000:0.000000:0.000000
96:@0.644481:0.490649:0.675513:0.490649:0.675513:0.474260:0.644481:0.474260:0.000000:0.000000
36:@0.647982:0.510095:0.673467:0.510095:0.673467:0.493706:0.647982:0.493706:0.000000:0.000000
6:@0.709438:0.490649:0.718431:0.490649:0.718431:0.474260:0.709438:0.474260:0.000000
2:@0.703891:0.510095:0.712884:0.510095:0.712884:0.493706:0.703891:0.493706:0.000000
.:@0.722264:0.499597:0.725470:0.499597:0.725470:0.483208:0.722264:0.483208:0.000000
2:@0.411991:0.504991:0.417203:0.504991:0.417203:0.495493:0.411991:0.495493:0.000000
4. :@0.311239:0.555913:0.328413:0.555913:0.328413:0.539289:0.311239:0.539289:0.000000:0.000000:0.000000
=:@0.382674:0.560363:0.392791:0.560363:0.392791:0.544790:0.382674:0.544790:0.000000
⋅:@0.433405:0.560363:0.438012:0.560363:0.438012:0.544790:0.433405:0.544790:0.000000
=:@0.478005:0.560363:0.488122:0.560363:0.488122:0.544790:0.478005:0.544790:0.000000
=:@0.550573:0.560363:0.560690:0.560363:0.560690:0.544790:0.550573:0.544790:0.000000
=:@0.623141:0.560363:0.633258:0.560363:0.633258:0.544790:0.623141:0.544790:0.000000
x:@0.363251:0.550727:0.370715:0.550727:0.370715:0.535334:0.363251:0.535334:0.000000
x:@0.367858:0.570878:0.375322:0.570878:0.375322:0.555484:0.367858:0.555484:0.000000
x:@0.415291:0.550727:0.422754:0.550727:0.422754:0.535334:0.415291:0.535334:0.000000
x:@0.419898:0.570878:0.427361:0.570878:0.427361:0.555484:0.419898:0.555484:0.000000
x:@0.463185:0.550727:0.470648:0.550727:0.470648:0.535334:0.463185:0.535334:0.000000
x:@0.463185:0.570878:0.470648:0.570878:0.470648:0.555484:0.463185:0.555484:0.000000
x:@0.504591:0.550727:0.512055:0.550727:0.512055:0.535334:0.504591:0.535334:0.000000
x:@0.535734:0.550727:0.543197:0.550727:0.543197:0.535334:0.535734:0.535334:0.000000
x:@0.525488:0.572731:0.532952:0.572731:0.532952:0.557338:0.525488:0.557338:0.000000
x:@0.577159:0.550727:0.584623:0.550727:0.584623:0.535334:0.577159:0.535334:0.000000
x:@0.608302:0.550727:0.615765:0.550727:0.615765:0.535334:0.608302:0.535334:0.000000
x:@0.592491:0.570172:0.599954:0.570172:0.599954:0.554779:0.592491:0.554779:0.000000
x:@0.670606:0.550727:0.678069:0.550727:0.678069:0.535334:0.670606:0.535334:0.000000
4:@0.352250:0.550727:0.361243:0.550727:0.361243:0.534338:0.352250:0.534338:0.000000
5:@0.358000:0.570878:0.366992:0.570878:0.366992:0.554489:0.358000:0.554489:0.000000
4:@0.404271:0.550727:0.413264:0.550727:0.413264:0.534338:0.404271:0.534338:0.000000
5:@0.410021:0.570878:0.419013:0.570878:0.419013:0.554489:0.410021:0.554489:0.000000
5:@0.453307:0.550727:0.462300:0.550727:0.462300:0.534338:0.453307:0.534338:0.000000
5:@0.453307:0.570878:0.462300:0.570878:0.462300:0.554489:0.453307:0.554489:0.000000
4:@0.493572:0.550727:0.502564:0.550727:0.502564:0.534338:0.493572:0.534338:0.000000
5:@0.525875:0.550727:0.534868:0.550727:0.534868:0.534338:0.525875:0.534338:0.000000
5:@0.508332:0.572731:0.517325:0.572731:0.517325:0.556342:0.508332:0.556342:0.000000
4:@0.566121:0.550727:0.575114:0.550727:0.575114:0.534338:0.566121:0.534338:0.000000
5:@0.598425:0.550727:0.607418:0.550727:0.607418:0.534338:0.598425:0.534338:0.000000
5:@0.582614:0.570172:0.591607:0.570172:0.591607:0.553783:0.582614:0.553783:0.000000
45:@0.638689:0.550727:0.669721:0.550727:0.669721:0.534338:0.638689:0.534338:0.000000:0.000000
5:@0.655182:0.570172:0.664175:0.570172:0.664175:0.553783:0.655182:0.553783:0.000000
.:@0.683026:0.559675:0.686233:0.559675:0.686233:0.543286:0.683026:0.543286:0.000000
2:@0.517060:0.565068:0.522272:0.565068:0.522272:0.555570:0.517060:0.555570:0.000000
2:@0.534596:0.565068:0.539808:0.565068:0.539808:0.555570:0.534596:0.555570:0.000000
b)  Cuando el radical no es índice 2:@0.287495:0.610490:0.560252:0.610490:0.560252:0.593589:0.287495:0.593589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos.:@0.311239:0.634209:0.381410:0.634209:0.381410:0.617571:0.311239:0.617571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Observemos varios ejemplos de racionalización.:@0.381410:0.634209:0.736676:0.634209:0.736676:0.617820:0.381410:0.617820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.311230:0.673017:0.328405:0.673017:0.328405:0.656393:0.311230:0.656393:0.000000:0.000000:0.000000
=:@0.378329:0.672447:0.388445:0.672447:0.388445:0.656874:0.378329:0.656874:0.000000
=:@0.427180:0.672447:0.437297:0.672447:0.437297:0.656874:0.427180:0.656874:0.000000
⋅:@0.474705:0.672447:0.479312:0.672447:0.479312:0.656874:0.474705:0.656874:0.000000
=:@0.517162:0.672447:0.527279:0.672447:0.527279:0.656874:0.517162:0.656874:0.000000
=:@0.567046:0.672447:0.577163:0.672447:0.577163:0.656874:0.567046:0.656874:0.000000
1:@0.360933:0.662808:0.369926:0.662808:0.369926:0.646419:0.360933:0.646419:0.000000
5:@0.356842:0.682253:0.365835:0.682253:0.365835:0.665864:0.356842:0.665864:0.000000
1:@0.404275:0.662808:0.413267:0.662808:0.413267:0.646419:0.404275:0.646419:0.000000
5:@0.405694:0.684812:0.414686:0.684812:0.414686:0.668423:0.405694:0.668423:0.000000
1:@0.453126:0.662808:0.462119:0.662808:0.462119:0.646419:0.453126:0.646419:0.000000
5:@0.454545:0.684812:0.463538:0.684812:0.463538:0.668423:0.454545:0.668423:0.000000
5:@0.494644:0.662808:0.503637:0.662808:0.503637:0.646419:0.494644:0.646419:0.000000
5:@0.494644:0.684812:0.503637:0.684812:0.503637:0.668423:0.494644:0.668423:0.000000
5:@0.544527:0.662808:0.553520:0.662808:0.553520:0.646419:0.544527:0.646419:0.000000
5:@0.544951:0.684812:0.553944:0.684812:0.553944:0.668423:0.544951:0.668423:0.000000
5:@0.594429:0.662808:0.603422:0.662808:0.603422:0.646419:0.594429:0.646419:0.000000
5:@0.592955:0.682253:0.601948:0.682253:0.601948:0.665864:0.592955:0.665864:0.000000
.:@0.614571:0.671756:0.617777:0.671756:0.617777:0.655367:0.614571:0.655367:0.000000
3:@0.365555:0.674598:0.370767:0.674598:0.370767:0.665100:0.365555:0.665100:0.000000
7:@0.344612:0.667761:0.349824:0.667761:0.349824:0.658263:0.344612:0.658263:0.000000
3:@0.414393:0.677155:0.419605:0.677155:0.419605:0.667657:0.414393:0.667657:0.000000
7:@0.394967:0.677275:0.400178:0.677275:0.400178:0.667777:0.394967:0.667777:0.000000
3:@0.463231:0.677155:0.468443:0.677155:0.468443:0.667657:0.463231:0.667657:0.000000
7:@0.443805:0.677275:0.449016:0.677275:0.449016:0.667777:0.443805:0.667777:0.000000
4:@0.503750:0.655153:0.508961:0.655153:0.508961:0.645655:0.503750:0.645655:0.000000
7:@0.483907:0.655273:0.489119:0.655273:0.489119:0.645775:0.483907:0.645775:0.000000
4:@0.503750:0.677155:0.508961:0.677155:0.508961:0.667657:0.503750:0.667657:0.000000
7:@0.483907:0.677275:0.489119:0.677275:0.489119:0.667777:0.483907:0.667777:0.000000
4:@0.553634:0.655153:0.558846:0.655153:0.558846:0.645655:0.553634:0.645655:0.000000
7:@0.533792:0.655273:0.539003:0.655273:0.539003:0.645775:0.533792:0.645775:0.000000
7:@0.553421:0.677155:0.558632:0.677155:0.558632:0.667657:0.553421:0.667657:0.000000
7:@0.534208:0.677275:0.539420:0.677275:0.539420:0.667777:0.534208:0.667777:0.000000
4:@0.603519:0.655153:0.608731:0.655153:0.608731:0.645655:0.603519:0.645655:0.000000
7:@0.583676:0.655273:0.588888:0.655273:0.588888:0.645775:0.583676:0.645775:0.000000
2. :@0.311239:0.725417:0.328413:0.725417:0.328413:0.708793:0.311239:0.708793:0.000000:0.000000:0.000000
=:@0.390161:0.728610:0.400278:0.728610:0.400278:0.713037:0.390161:0.713037:0.000000
⋅:@0.448374:0.728610:0.452981:0.728610:0.452981:0.713037:0.448374:0.713037:0.000000
=:@0.490407:0.728610:0.500524:0.728610:0.500524:0.713037:0.490407:0.713037:0.000000
⋅:@0.517322:0.741654:0.521928:0.741654:0.521928:0.726081:0.517322:0.726081:0.000000
=:@0.557685:0.728610:0.567802:0.728610:0.567802:0.713037:0.557685:0.713037:0.000000
3:@0.361375:0.718970:0.370368:0.718970:0.370368:0.702581:0.361375:0.702581:0.000000
42:@0.346246:0.740974:0.377278:0.740974:0.377278:0.724585:0.346246:0.724585:0.000000:0.000000
3:@0.420896:0.718970:0.429889:0.718970:0.429889:0.702581:0.420896:0.702581:0.000000
42:@0.405767:0.740974:0.436799:0.740974:0.436799:0.724585:0.405767:0.724585:0.000000:0.000000
2:@0.468329:0.718970:0.477322:0.718970:0.477322:0.702581:0.468329:0.702581:0.000000
2:@0.468329:0.740974:0.477322:0.740974:0.477322:0.724585:0.468329:0.724585:0.000000
32:@0.509994:0.718970:0.539884:0.718970:0.539884:0.702581:0.509994:0.702581:0.000000:0.000000
4:@0.506014:0.740974:0.515006:0.740974:0.515006:0.724585:0.506014:0.724585:0.000000
2:@0.535811:0.740974:0.544804:0.740974:0.544804:0.724585:0.535811:0.724585:0.000000
32:@0.572556:0.718970:0.602446:0.718970:0.602446:0.702581:0.572556:0.702581:0.000000:0.000000
8:@0.587206:0.738415:0.596199:0.738415:0.596199:0.722026:0.587206:0.722026:0.000000
.:@0.613170:0.727918:0.616377:0.727918:0.616377:0.711529:0.613170:0.711529:0.000000
3:@0.377387:0.733314:0.382599:0.733314:0.382599:0.723816:0.377387:0.723816:0.000000
5:@0.357865:0.733434:0.363076:0.733434:0.363076:0.723936:0.357865:0.723936:0.000000
3:@0.436915:0.733314:0.442127:0.733314:0.442127:0.723816:0.436915:0.723816:0.000000
5:@0.417393:0.733434:0.422605:0.733434:0.422605:0.723936:0.417393:0.723936:0.000000
2:@0.477445:0.711312:0.482656:0.711312:0.482656:0.701814:0.477445:0.701814:0.000000
5:@0.457922:0.711432:0.463134:0.711432:0.463134:0.701934:0.457922:0.701934:0.000000
2:@0.477445:0.733314:0.482656:0.733314:0.482656:0.723816:0.477445:0.723816:0.000000
5:@0.457922:0.733434:0.463134:0.733434:0.463134:0.723936:0.457922:0.723936:0.000000
2:@0.540006:0.711312:0.545218:0.711312:0.545218:0.701814:0.540006:0.701814:0.000000
5:@0.520484:0.711432:0.525695:0.711432:0.525695:0.701934:0.520484:0.701934:0.000000
5:@0.544930:0.733314:0.550141:0.733314:0.550141:0.723816:0.544930:0.723816:0.000000
5:@0.525407:0.733434:0.530619:0.733434:0.530619:0.723936:0.525407:0.723936:0.000000
2:@0.602568:0.711312:0.607779:0.711312:0.607779:0.701814:0.602568:0.701814:0.000000
5:@0.583045:0.711432:0.588257:0.711432:0.588257:0.701934:0.583045:0.701934:0.000000
3.   :@0.311239:0.786194:0.338889:0.786194:0.338889:0.769570:0.311239:0.769570:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.413452:0.788128:0.423568:0.788128:0.423568:0.772555:0.413452:0.772555:0.000000
⋅:@0.482131:0.788128:0.486738:0.788128:0.486738:0.772555:0.482131:0.772555:0.000000
=:@0.518360:0.788128:0.528477:0.788128:0.528477:0.772555:0.518360:0.772555:0.000000
=:@0.595627:0.788128:0.605744:0.788128:0.605744:0.772555:0.595627:0.772555:0.000000
xxy:@0.368580:0.778184:0.406117:0.778184:0.406117:0.762791:0.368580:0.762791:0.000000:0.000000:0.000000
y:@0.386234:0.800506:0.393716:0.800506:0.393716:0.785113:0.386234:0.785113:0.000000
xxy:@0.438587:0.778184:0.476124:0.778184:0.476124:0.762791:0.438587:0.762791:0.000000:0.000000:0.000000
y:@0.456241:0.800506:0.463722:0.800506:0.463722:0.785113:0.456241:0.785113:0.000000
y:@0.503563:0.778184:0.511044:0.778184:0.511044:0.762791:0.503563:0.762791:0.000000
y:@0.503563:0.798653:0.511044:0.798653:0.511044:0.783260:0.503563:0.783260:0.000000
xxy:@0.543514:0.778184:0.581051:0.778184:0.581051:0.762791:0.543514:0.762791:0.000000:0.000000:0.000000
y:@0.564872:0.800506:0.572353:0.800506:0.572353:0.785113:0.564872:0.785113:0.000000
xxy:@0.620781:0.778184:0.658318:0.778184:0.658318:0.762791:0.620781:0.762791:0.000000:0.000000:0.000000
y:@0.640148:0.797947:0.647630:0.797947:0.647630:0.782554:0.640148:0.782554:0.000000
2:@0.358335:0.778184:0.367327:0.778184:0.367327:0.761795:0.358335:0.761795:0.000000
7:@0.363107:0.800506:0.372100:0.800506:0.372100:0.784117:0.363107:0.784117:0.000000
2:@0.428341:0.778184:0.437334:0.778184:0.437334:0.761795:0.428341:0.761795:0.000000
7:@0.433114:0.800506:0.442107:0.800506:0.442107:0.784117:0.433114:0.784117:0.000000
2:@0.533268:0.778184:0.542261:0.778184:0.542261:0.761795:0.533268:0.761795:0.000000
7:@0.541745:0.800506:0.550738:0.800506:0.550738:0.784117:0.541745:0.784117:0.000000
2:@0.610535:0.778184:0.619528:0.778184:0.619528:0.761795:0.610535:0.761795:0.000000
7:@0.629534:0.797947:0.638527:0.797947:0.638527:0.781558:0.629534:0.781558:0.000000
.:@0.670572:0.787450:0.673779:0.787450:0.673779:0.771061:0.670572:0.771061:0.000000
3:@0.379476:0.773070:0.384688:0.773070:0.384688:0.763572:0.379476:0.763572:0.000000
2:@0.395335:0.792836:0.400547:0.792836:0.400547:0.783338:0.395335:0.783338:0.000000
3:@0.374339:0.794679:0.379551:0.794679:0.379551:0.785181:0.374339:0.785181:0.000000
3:@0.449460:0.773070:0.454672:0.773070:0.454672:0.763572:0.449460:0.763572:0.000000
2:@0.465319:0.792836:0.470531:0.792836:0.470531:0.783338:0.465319:0.783338:0.000000
3:@0.444323:0.794679:0.449535:0.794679:0.449535:0.785181:0.444323:0.785181:0.000000
3:@0.491644:0.773070:0.496856:0.773070:0.496856:0.763572:0.491644:0.763572:0.000000
3:@0.491644:0.793541:0.496856:0.793541:0.496856:0.784043:0.491644:0.784043:0.000000
2:@0.582635:0.770513:0.587847:0.770513:0.587847:0.761015:0.582635:0.761015:0.000000
3:@0.554366:0.772357:0.559578:0.772357:0.559578:0.762859:0.554366:0.762859:0.000000
3:@0.573942:0.792828:0.579154:0.792828:0.579154:0.783330:0.573942:0.783330:0.000000
3:@0.552946:0.794671:0.558157:0.794671:0.558157:0.785173:0.552946:0.785173:0.000000
2:@0.659903:0.770505:0.665114:0.770505:0.665114:0.761007:0.659903:0.761007:0.000000
3:@0.631633:0.772349:0.636845:0.772349:0.636845:0.762851:0.631633:0.762851:0.000000
4. :@0.311239:0.841940:0.328413:0.841940:0.328413:0.825316:0.311239:0.825316:0.000000:0.000000:0.000000
b:@0.379354:0.843403:0.389526:0.843403:0.392996:0.827014:0.382824:0.827014:0.000000
a   :@0.354239:0.863210:0.376128:0.863210:0.380502:0.848288:0.358613:0.848288:0.000000:0.000000:0.000000:0.000000
b:@0.376472:0.863514:0.386644:0.863514:0.391449:0.847125:0.381277:0.847125:0.000000
a       :@0.423048:0.843055:0.458536:0.843055:0.462910:0.828132:0.427422:0.828132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.458544:0.843359:0.468716:0.843359:0.473520:0.826970:0.463348:0.826970:0.000000
a   :@0.434074:0.863210:0.455963:0.863210:0.460337:0.848288:0.438448:0.848288:0.000000:0.000000:0.000000:0.000000
b:@0.456308:0.863514:0.466480:0.863514:0.471284:0.847125:0.461112:0.847125:0.000000
a   :@0.503605:0.840858:0.525494:0.840858:0.529868:0.825935:0.507979:0.825935:0.000000:0.000000:0.000000:0.000000
b:@0.525838:0.841162:0.536011:0.841162:0.540815:0.824773:0.530643:0.824773:0.000000
a   :@0.505265:0.866943:0.527154:0.866943:0.531528:0.852020:0.509639:0.852020:0.000000:0.000000:0.000000:0.000000
b:@0.527499:0.867247:0.537671:0.867247:0.542475:0.850858:0.532303:0.850858:0.000000
a     :@0.583718:0.840858:0.611904:0.840858:0.616278:0.825935:0.588093:0.825935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.611912:0.841162:0.622084:0.841162:0.626888:0.824773:0.616716:0.824773:0.000000
a   :@0.652822:0.840858:0.674711:0.840858:0.679085:0.825935:0.657196:0.825935:0.000000:0.000000:0.000000:0.000000
b:@0.675055:0.841162:0.685227:0.841162:0.690032:0.824773:0.679860:0.824773:0.000000
a   :@0.621555:0.866943:0.643444:0.866943:0.647818:0.852020:0.625930:0.852020:0.000000:0.000000:0.000000:0.000000
b:@0.643789:0.867247:0.653961:0.867247:0.658765:0.850858:0.648593:0.850858:0.000000
a   :@0.493791:0.892642:0.516450:0.892642:0.520824:0.877720:0.498166:0.877720:0.000000:0.000000:0.000000:0.000000
b:@0.517052:0.892946:0.527224:0.892946:0.532028:0.876558:0.521856:0.876558:0.000000
a   :@0.451220:0.892642:0.473879:0.892642:0.478253:0.877720:0.455595:0.877720:0.000000:0.000000:0.000000:0.000000
b:@0.474481:0.892946:0.484653:0.892946:0.489457:0.876558:0.479285:0.876558:0.000000
a   :@0.554859:0.892642:0.576748:0.892642:0.581122:0.877720:0.559233:0.877720:0.000000:0.000000:0.000000:0.000000
b:@0.577092:0.892946:0.587264:0.892946:0.592069:0.876558:0.581897:0.876558:0.000000
a   :@0.693333:0.903357:0.715221:0.903357:0.719596:0.888434:0.697707:0.888434:0.000000:0.000000:0.000000:0.000000
b:@0.715568:0.903661:0.725740:0.903661:0.730544:0.887272:0.720372:0.887272:0.000000
2–2:@0.337391:0.843409:0.379461:0.843409:0.379461:0.827020:0.337391:0.827020:0.000000:0.000000:0.000000
2 –2:@0.415542:0.843409:0.460616:0.843409:0.460616:0.827020:0.415542:0.827020:0.000000:0.000000:0.000000:0.000000
2:@0.436458:0.893848:0.445450:0.893848:0.445450:0.877459:0.436458:0.877459:0.000000
2( –:@0.572914:0.841224:0.611096:0.841224:0.611096:0.824835:0.572914:0.824835:0.000000:0.000000:0.000000:0.000000
):@0.631864:0.841224:0.636748:0.841224:0.636748:0.824835:0.631864:0.824835:0.000000
2 –:@0.621434:0.904400:0.655562:0.903045:0.655562:0.886656:0.621434:0.888012:0.000000:0.000000:0.000000
–:@0.465573:0.892949:0.474787:0.892949:0.474787:0.876588:0.465573:0.876588:0.000000
.:@0.742983:0.903709:0.746189:0.903709:0.746189:0.887320:0.742983:0.887320:0.000000
2:@0.356358:0.835746:0.361569:0.835746:0.361569:0.826248:0.356358:0.826248:0.000000
2:@0.393053:0.835746:0.398265:0.835746:0.398265:0.826248:0.393053:0.826248:0.000000
3:@0.345134:0.856731:0.350345:0.856731:0.350345:0.847232:0.345134:0.847232:0.000000
2:@0.435964:0.835746:0.441176:0.835746:0.441176:0.826248:0.435964:0.826248:0.000000
2:@0.470897:0.835746:0.476109:0.835746:0.476109:0.826248:0.470897:0.826248:0.000000
3:@0.424975:0.856731:0.430186:0.856731:0.430186:0.847232:0.424975:0.847232:0.000000
2:@0.546167:0.831651:0.551379:0.831651:0.551379:0.822153:0.546167:0.822153:0.000000
3:@0.489736:0.835779:0.494948:0.835779:0.494948:0.826280:0.489736:0.826280:0.000000
2:@0.546167:0.857748:0.551379:0.857748:0.551379:0.848250:0.546167:0.848250:0.000000
3:@0.489736:0.861876:0.494948:0.861876:0.494948:0.852378:0.489736:0.852378:0.000000
2:@0.596063:0.833550:0.601274:0.833550:0.601274:0.824052:0.596063:0.824052:0.000000
2 3:@0.623969:0.833550:0.643523:0.835779:0.643523:0.826280:0.623969:0.824052:0.000000:0.000000:0.000000
2:@0.694743:0.831651:0.699954:0.831651:0.699954:0.822153:0.694743:0.822153:0.000000
3:@0.663227:0.857748:0.668439:0.857748:0.668439:0.848250:0.663227:0.848250:0.000000
3:@0.606796:0.861876:0.612007:0.861876:0.612007:0.852378:0.606796:0.852378:0.000000
2:@0.595753:0.883446:0.600965:0.883446:0.600965:0.873947:0.595753:0.873947:0.000000
3:@0.539322:0.887573:0.544533:0.887573:0.544533:0.878075:0.539322:0.878075:0.000000
2:@0.735016:0.894162:0.740227:0.894162:0.740227:0.884664:0.735016:0.884664:0.000000
3:@0.678584:0.898290:0.683796:0.898290:0.683796:0.888792:0.678584:0.888792:0.000000
(:@0.500150:0.844340:0.506287:0.844340:0.506287:0.824407:0.500150:0.824407:0.000000
):@0.539788:0.844340:0.545925:0.844340:0.545925:0.824407:0.539788:0.824407:0.000000
(:@0.500150:0.870434:0.506287:0.870434:0.506287:0.850501:0.500150:0.850501:0.000000
):@0.539788:0.870434:0.545925:0.870434:0.545925:0.850501:0.539788:0.850501:0.000000
(:@0.648732:0.844340:0.654869:0.844340:0.654869:0.824407:0.648732:0.824407:0.000000
):@0.688370:0.844340:0.694507:0.844340:0.694507:0.824407:0.688370:0.824407:0.000000
(:@0.617221:0.870434:0.623358:0.870434:0.623358:0.850501:0.617221:0.850501:0.000000
):@0.656859:0.870434:0.662995:0.870434:0.662995:0.850501:0.656859:0.850501:0.000000
( ):@0.490384:0.896139:0.491121:0.896139:0.491121:0.876205:0.490384:0.876205:0.000000:0.000000:0.000000
) (:@0.530022:0.896139:0.555872:0.896119:0.555872:0.876186:0.530022:0.876205:0.000000:0.000000:0.000000
(:@0.448866:0.896139:0.455003:0.896139:0.455003:0.876205:0.448866:0.876205:0.000000
a   :@0.492905:0.913060:0.515564:0.913060:0.519938:0.898137:0.497279:0.898137:0.000000:0.000000:0.000000:0.000000
b:@0.516164:0.913364:0.526336:0.913364:0.531140:0.896975:0.520968:0.896975:0.000000
+:@0.506190:0.914041:0.516306:0.914041:0.516306:0.898469:0.506190:0.898469:0.000000
(:@0.490523:0.916542:0.496659:0.916542:0.496659:0.896609:0.490523:0.896609:0.000000
):@0.526641:0.916542:0.532777:0.916542:0.532777:0.896609:0.526641:0.896609:0.000000
a   :@0.632922:0.902745:0.655580:0.902745:0.659955:0.887822:0.637296:0.887822:0.000000:0.000000:0.000000:0.000000
b:@0.656182:0.903049:0.666354:0.903049:0.671158:0.886660:0.660986:0.886660:0.000000
(:@0.630541:0.906227:0.636677:0.906227:0.636677:0.886294:0.630541:0.886294:0.000000
) (:@0.666659:0.906227:0.695118:0.906842:0.695118:0.886909:0.666659:0.886294:0.000000:0.000000:0.000000
):@0.589374:0.896119:0.595510:0.896119:0.595510:0.876186:0.589374:0.876186:0.000000
):@0.728620:0.906842:0.734756:0.906842:0.734756:0.886909:0.728620:0.886909:0.000000
+:@0.366659:0.864604:0.376776:0.864604:0.376776:0.849031:0.366659:0.849031:0.000000
=:@0.401413:0.852614:0.411530:0.852614:0.411530:0.837041:0.401413:0.837041:0.000000
+:@0.446616:0.864231:0.456733:0.864231:0.456733:0.848658:0.446616:0.848658:0.000000
⋅:@0.480044:0.852614:0.484651:0.852614:0.484651:0.837041:0.480044:0.837041:0.000000
+:@0.516844:0.841895:0.526961:0.841895:0.526961:0.826322:0.516844:0.826322:0.000000
+:@0.516844:0.867965:0.526961:0.867965:0.526961:0.852392:0.516844:0.852392:0.000000
=:@0.558785:0.852614:0.568902:0.852614:0.568902:0.837041:0.558785:0.837041:0.000000
+:@0.665426:0.841895:0.675543:0.841895:0.675543:0.826322:0.665426:0.826322:0.000000
+:@0.633915:0.867965:0.644032:0.867965:0.644032:0.852392:0.633915:0.852392:0.000000
=:@0.411051:0.904394:0.421168:0.904394:0.421168:0.888821:0.411051:0.888821:0.000000
+:@0.507059:0.893662:0.517176:0.893662:0.517176:0.878089:0.507059:0.878089:0.000000
+:@0.566433:0.893662:0.576550:0.893662:0.576550:0.878089:0.566433:0.878089:0.000000
=:@0.608051:0.904340:0.618168:0.904340:0.618168:0.888767:0.608051:0.888767:0.000000
+:@0.706547:0.904340:0.716663:0.904340:0.716663:0.888767:0.706547:0.888767:0.000000
a:@0.345581:0.843359:0.355509:0.843363:0.356002:0.828087:0.346074:0.828084:0.000000
Proceso de racionalización:@0.286308:0.079033:0.747106:0.079033:0.747106:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
transformar.:@0.112618:0.558869:0.197084:0.558869:0.197084:0.543756:0.112618:0.543756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Hacer :@0.197084:0.558869:0.243119:0.558869:0.243119:0.543970:0.197084:0.543970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que algo cambie o :@0.112618:0.573957:0.241159:0.573957:0.241159:0.559058:0.112618:0.559058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sea distinto, pero sin :@0.112618:0.589044:0.252164:0.589044:0.252164:0.574145:0.112618:0.574145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alterar totalmente todas sus :@0.053616:0.604132:0.242831:0.604132:0.242831:0.589233:0.053616:0.589233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
características esenciales.:@0.053616:0.619219:0.221288:0.619219:0.221288:0.604320:0.053616:0.604320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para racionalizar :@0.138253:0.197469:0.249020:0.197469:0.249020:0.182570:0.138253:0.182570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
monomios, puedes tener :@0.077375:0.212557:0.249019:0.212557:0.249019:0.197658:0.077375:0.197658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los siguientes casos: :@0.112086:0.227644:0.249019:0.227644:0.249019:0.212745:0.112086:0.212745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.105385:0.246290:0.118217:0.246290:0.118217:0.231177:0.105385:0.231177:0.000000:0.000000
  Radicales del tipo: :@0.118217:0.246290:0.249020:0.246290:0.249020:0.231391:0.118217:0.231391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.147331:0.257077:0.155674:0.257077:0.155674:0.243223:0.147331:0.243223:0.000000
bc:@0.136920:0.275217:0.163986:0.275217:0.163986:0.261363:0.136920:0.261363:0.000000:0.000000
;:@0.168629:0.265140:0.171515:0.265140:0.171515:0.250390:0.168629:0.250390:0.000000
 multiplica :@0.175460:0.264947:0.249020:0.264947:0.249020:0.250048:0.175460:0.250048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numerador:@0.170116:0.283593:0.245351:0.283593:0.245351:0.268694:0.170116:0.268694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y denominador :@0.142408:0.302239:0.249020:0.302239:0.249020:0.287340:0.142408:0.287340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por:  :@0.183150:0.320885:0.216805:0.320885:0.216805:0.305986:0.183150:0.305986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.230750:0.321248:0.237649:0.321248:0.237649:0.307394:0.230750:0.307394:0.000000
.:@0.242435:0.320902:0.245350:0.320902:0.245350:0.306003:0.242435:0.306003:0.000000
b):@0.103976:0.339548:0.118216:0.339548:0.118216:0.324435:0.103976:0.324435:0.000000:0.000000
  Radicales del tipo: :@0.118216:0.339548:0.249019:0.339548:0.249019:0.324649:0.118216:0.324649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.129308:0.351729:0.137650:0.351729:0.137650:0.337875:0.129308:0.337875:0.000000
bc:@0.114132:0.371532:0.141199:0.371532:0.141199:0.357678:0.114132:0.357678:0.000000:0.000000
m:@0.142123:0.364635:0.149755:0.364635:0.149755:0.356606:0.142123:0.356606:0.000000
n:@0.124505:0.364744:0.129465:0.364744:0.129465:0.356715:0.124505:0.356715:0.000000
; multiplica el:@0.157200:0.358205:0.245351:0.358205:0.245351:0.343306:0.157200:0.343306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 numerador :@0.166448:0.376851:0.249020:0.376851:0.249020:0.361952:0.166448:0.361952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y el denominador :@0.127063:0.395497:0.249020:0.395497:0.249020:0.380598:0.127063:0.380598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por: :@0.165711:0.414142:0.195697:0.414142:0.195697:0.399243:0.165711:0.399243:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.222788:0.408056:0.228064:0.408056:0.228064:0.399934:0.222788:0.399934:0.000000
c:@0.209642:0.414599:0.216541:0.414599:0.216541:0.400745:0.209642:0.400745:0.000000
nm:@0.217651:0.407703:0.236163:0.407703:0.236163:0.399674:0.217651:0.399674:0.000000:0.000000
n:@0.199841:0.407811:0.204801:0.407811:0.204801:0.399782:0.199841:0.399782:0.000000
.:@0.242435:0.414160:0.245350:0.414160:0.245350:0.399261:0.242435:0.399261:0.000000
¿Cuál es el factor :@0.140128:0.432806:0.248364:0.432806:0.248364:0.418812:0.140128:0.418812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionalizante para :@0.076904:0.447893:0.203919:0.447893:0.203919:0.433900:0.076904:0.433900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16:@0.217110:0.462022:0.235096:0.462022:0.235096:0.445633:0.217110:0.445633:0.000000:0.000000
3:@0.207850:0.454192:0.213092:0.454192:0.213092:0.444637:0.207850:0.444637:0.000000
2:@0.215695:0.446221:0.224687:0.446221:0.224687:0.429832:0.215695:0.429832:0.000000
 ?:@0.236454:0.447900:0.245350:0.447900:0.245350:0.433906:0.236454:0.433906:0.000000:0.000000
     Matemática:@0.116393:0.165027:0.223933:0.165027:0.223933:0.148126:0.116393:0.148126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando una persona :@0.105536:0.760271:0.249021:0.760271:0.249021:0.745372:0.105536:0.745372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene dificultades o :@0.118503:0.775359:0.249021:0.775359:0.249021:0.760460:0.118503:0.760460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas de motricidad, :@0.073456:0.790446:0.249017:0.790446:0.249017:0.775547:0.073456:0.775547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es importante tener en :@0.091900:0.805534:0.249019:0.805534:0.249019:0.790635:0.091900:0.790635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuenta que los :@0.146948:0.820621:0.249021:0.820621:0.249021:0.805722:0.146948:0.805722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desplazamientos y ritmos :@0.075215:0.835709:0.249017:0.835709:0.249017:0.820810:0.075215:0.820810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no siempre se ajustarán a :@0.076438:0.850797:0.249019:0.850797:0.249019:0.835898:0.076438:0.835898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los de los demás.:@0.132139:0.865884:0.245350:0.865884:0.245350:0.850985:0.132139:0.850985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo actúas cuando :@0.102203:0.884530:0.248367:0.884530:0.248367:0.870536:0.102203:0.870536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te encuentras con :@0.133010:0.899618:0.248366:0.899618:0.248366:0.885624:0.133010:0.885624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
casos como este?:@0.136612:0.914705:0.245352:0.914705:0.245352:0.900712:0.136612:0.900712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        Socioemocional:@0.095342:0.727830:0.244986:0.727830:0.244986:0.710930:0.095342:0.710930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000