24:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
5:@0.054209:0.122645:0.076302:0.122645:0.076302:0.065614:0.054209:0.065614:0.000000
La racionalización de una expresión fraccionaria es el procedimiento mediante el cual se logra transformar :@0.115209:0.207326:0.883918:0.207326:0.883918:0.190938:0.115209:0.190938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su denominador en un número racional.:@0.115209:0.223923:0.411172:0.223923:0.411172:0.207534:0.115209:0.207534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al racionalizar monomios puedes tener los siguientes casos::@0.115209:0.247642:0.553263:0.247642:0.553263:0.231253:0.115209:0.231253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I. :@0.115209:0.274362:0.128974:0.274362:0.128974:0.257226:0.115209:0.257226:0.000000:0.000000:0.000000
Radicales del tipo: :@0.148452:0.274362:0.284264:0.274362:0.284264:0.257973:0.148452:0.257973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.299912:0.265795:0.309181:0.265795:0.309181:0.249433:0.299912:0.249433:0.000000
bc:@0.288340:0.286111:0.318414:0.286111:0.318414:0.269750:0.288340:0.269750:0.000000:0.000000
; multiplica el numerador y el denominador por :@0.326140:0.274361:0.677536:0.274361:0.677536:0.257972:0.326140:0.257972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.689868:0.274361:0.697534:0.274361:0.697534:0.257999:0.689868:0.257999:0.000000
.:@0.699447:0.274361:0.702653:0.274361:0.702653:0.257972:0.699447:0.257972:0.000000
II. :@0.115217:0.319212:0.134234:0.319212:0.134234:0.302077:0.115217:0.302077:0.000000:0.000000:0.000000:0.000000
Radicales del tipo: :@0.148461:0.319212:0.284272:0.319212:0.284272:0.302823:0.148461:0.302823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.305357:0.309465:0.314626:0.309465:0.314626:0.293103:0.305357:0.293103:0.000000
bc:@0.288348:0.331621:0.318422:0.331621:0.318422:0.315259:0.288348:0.315259:0.000000:0.000000
m:@0.319439:0.323962:0.327918:0.323962:0.327918:0.314480:0.319439:0.314480:0.000000
n:@0.299916:0.324162:0.305427:0.324162:0.305427:0.314680:0.299916:0.314680:0.000000
; multiplica el numerador y el denominador por :@0.336191:0.319209:0.687588:0.319209:0.687588:0.302820:0.336191:0.302820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.717578:0.311546:0.722918:0.311546:0.722918:0.302048:0.717578:0.302048:0.000000
c:@0.703077:0.319209:0.710743:0.319209:0.710743:0.302847:0.703077:0.302847:0.000000
nm:@0.711978:0.311546:0.731660:0.311546:0.731660:0.302064:0.711978:0.302064:0.000000:0.000000
n:@0.692240:0.311742:0.697751:0.311742:0.697751:0.302260:0.692240:0.302260:0.000000
.:@0.735543:0.319209:0.738750:0.319209:0.738750:0.302820:0.735543:0.302820:0.000000
III. :@0.115214:0.365319:0.139483:0.365319:0.139483:0.348183:0.115214:0.348183:0.000000:0.000000:0.000000:0.000000:0.000000
Radicales del tipo: :@0.148457:0.365319:0.285043:0.365319:0.285043:0.348930:0.148457:0.348930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
±:@0.314914:0.377816:0.325031:0.377816:0.325031:0.362244:0.314914:0.362244:0.000000
a:@0.315123:0.356826:0.324393:0.356826:0.324393:0.340465:0.315123:0.340465:0.000000
b:@0.302040:0.377143:0.311309:0.377143:0.311309:0.360781:0.302040:0.360781:0.000000
c:@0.340056:0.377143:0.347722:0.377143:0.347722:0.360781:0.340056:0.360781:0.000000
; multiplica el numerador y el denominador por la conjugada del deno-:@0.354125:0.365313:0.879902:0.365313:0.879902:0.348924:0.354125:0.348924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minador de la fracción: :@0.148454:0.403028:0.320089:0.403028:0.320089:0.386639:0.148454:0.386639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.349241:0.403903:0.359358:0.403903:0.359358:0.387154:0.349241:0.387154:0.000000
b:@0.335211:0.403032:0.344480:0.403032:0.344480:0.386670:0.335211:0.386670:0.000000
c:@0.375107:0.403032:0.382773:0.403032:0.382773:0.386670:0.375107:0.386670:0.000000
 .:@0.388767:0.403032:0.396009:0.403032:0.396009:0.386643:0.388767:0.386643:0.000000:0.000000
Actividad resuelta:@0.115209:0.435706:0.272331:0.435706:0.272331:0.417269:0.115209:0.417269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionalicemos:@0.115209:0.455553:0.234839:0.455553:0.234839:0.438929:0.115209:0.438929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las siguientes fracciones::@0.234839:0.455553:0.418303:0.455553:0.418303:0.439164:0.234839:0.439164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionalización de expresiones numéricas :@0.115891:0.141978:0.742346:0.141978:0.742346:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y algebraicas:@0.115891:0.182224:0.310788:0.182224:0.310788:0.141488:0.115891:0.141488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.36. Reescribir expresiones numéricas o algebraicas con raíces en el denominador, utilizando propiedades en   (racionalización).:@0.125388:0.074999:0.745846:0.074999:0.745846:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.657174:0.074454:0.665640:0.074454:0.665640:0.066269:0.657174:0.066269:0.000000
2:@0.136097:0.492399:0.145090:0.492399:0.145090:0.476010:0.136097:0.476010:0.000000
35:@0.125151:0.512716:0.155041:0.512716:0.155041:0.496327:0.125151:0.496327:0.000000:0.000000
 :@0.157783:0.493193:0.161598:0.493193:0.161598:0.476292:0.157783:0.476292:0.000000
En esta fracción aparece una raíz de índice 2 en su denominador  5. Tenemos un caso :@0.244209:0.493193:0.875542:0.493193:0.875542:0.476804:0.244209:0.476804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de tipo I. :@0.244206:0.518336:0.311890:0.518336:0.311890:0.501947:0.244206:0.501947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicaremos:@0.311890:0.518336:0.435814:0.518336:0.435814:0.501712:0.311890:0.501712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el numerador y el denominador por  5::@0.435814:0.518336:0.732216:0.518339:0.732216:0.501950:0.435814:0.501947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.123588:0.553592:0.127403:0.553592:0.127403:0.536692:0.123588:0.536692:0.000000
(:@0.387075:0.569391:0.393211:0.569391:0.393211:0.541983:0.387075:0.541983:0.000000
):@0.446965:0.569391:0.453101:0.569391:0.453101:0.541983:0.446965:0.541983:0.000000
=:@0.283262:0.550492:0.293379:0.550492:0.293379:0.534919:0.283262:0.534919:0.000000
⋅:@0.330068:0.562317:0.334675:0.562317:0.334675:0.546744:0.330068:0.546744:0.000000
=:@0.363146:0.550492:0.373263:0.550492:0.373263:0.534919:0.363146:0.534919:0.000000
⋅:@0.417747:0.563216:0.422354:0.563216:0.422354:0.547643:0.417747:0.547643:0.000000
=:@0.457274:0.550492:0.467391:0.550492:0.467391:0.534919:0.457274:0.534919:0.000000
⋅:@0.484713:0.561376:0.489320:0.561376:0.489320:0.545803:0.484713:0.545803:0.000000
=:@0.506863:0.550492:0.516980:0.550492:0.516980:0.534919:0.506863:0.534919:0.000000
2:@0.259232:0.541322:0.268225:0.541322:0.268225:0.524933:0.259232:0.524933:0.000000
35:@0.248286:0.561639:0.278176:0.561639:0.278176:0.545250:0.248286:0.545250:0.000000:0.000000
25:@0.312617:0.541322:0.342912:0.541322:0.342912:0.524933:0.312617:0.524933:0.000000:0.000000
35:@0.297433:0.561639:0.327323:0.561639:0.327323:0.545250:0.297433:0.545250:0.000000:0.000000
5:@0.349049:0.561639:0.358041:0.561639:0.358041:0.545250:0.349049:0.545250:0.000000
25:@0.399614:0.541322:0.429909:0.541322:0.429909:0.524933:0.399614:0.524933:0.000000:0.000000
3:@0.377317:0.562538:0.386309:0.562538:0.386309:0.546149:0.377317:0.546149:0.000000
5:@0.406009:0.562538:0.415001:0.562538:0.415001:0.546149:0.406009:0.546149:0.000000
5:@0.436727:0.562538:0.445720:0.562538:0.445720:0.546149:0.436727:0.546149:0.000000
25:@0.471445:0.541322:0.501740:0.541322:0.501740:0.524933:0.471445:0.524933:0.000000:0.000000
35:@0.474430:0.560698:0.500174:0.560698:0.500174:0.544309:0.474430:0.544309:0.000000:0.000000
2:@0.524627:0.541322:0.533620:0.541322:0.533620:0.524933:0.524627:0.524933:0.000000
15:@0.519855:0.560698:0.537637:0.560698:0.537637:0.544309:0.519855:0.544309:0.000000:0.000000
5:@0.552361:0.549814:0.561354:0.549814:0.561354:0.533425:0.552361:0.533425:0.000000
2:@0.142438:0.612891:0.151431:0.612891:0.151431:0.596503:0.142438:0.596503:0.000000
35:@0.127678:0.635048:0.157567:0.635048:0.157567:0.618659:0.127678:0.618659:0.000000:0.000000
2:@0.157254:0.627389:0.162466:0.627389:0.162466:0.617891:0.157254:0.617891:0.000000
6:@0.138095:0.627589:0.143306:0.627589:0.143306:0.618091:0.138095:0.618091:0.000000
 :@0.170498:0.614187:0.174313:0.614187:0.174313:0.597286:0.170498:0.597286:0.000000
Aquí tenemos en el denominador  5 , por lo que tenemos un caso tipo II. :@0.244209:0.614187:0.792011:0.614187:0.792011:0.597798:0.244209:0.597798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.517310:0.606524:0.522522:0.606524:0.522522:0.597026:0.517310:0.597026:0.000000
6:@0.498150:0.606725:0.503362:0.606725:0.503362:0.597227:0.498150:0.597227:0.000000
 :@0.123585:0.642898:0.127621:0.642898:0.127621:0.626509:0.123585:0.626509:0.000000
Multiplicaremos:@0.244194:0.642898:0.368118:0.642898:0.368118:0.626274:0.244194:0.626274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el numerador y el denominador por  5:@0.368118:0.642898:0.661196:0.642896:0.661196:0.626507:0.368118:0.626509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6–2:@0.661102:0.635235:0.677517:0.635235:0.677517:0.625737:0.661102:0.625737:0.000000:0.000000:0.000000
6:@0.641729:0.635435:0.646941:0.635435:0.646941:0.625937:0.641729:0.625937:0.000000
; es decir por  5 ::@0.681455:0.642896:0.812640:0.642896:0.812640:0.626507:0.681455:0.626507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.800285:0.636492:0.805496:0.636492:0.805496:0.626994:0.800285:0.626994:0.000000
6:@0.780709:0.636692:0.785920:0.636692:0.785920:0.627194:0.780709:0.627194:0.000000
 :@0.123593:0.684179:0.127408:0.684179:0.127408:0.667279:0.123593:0.667279:0.000000
(:@0.452776:0.703423:0.458913:0.703423:0.458913:0.671498:0.452776:0.671498:0.000000
):@0.528680:0.703423:0.534816:0.703423:0.534816:0.671498:0.528680:0.671498:0.000000
⋅:@0.289963:0.680456:0.294570:0.680456:0.294570:0.664883:0.289963:0.664883:0.000000
=:@0.332936:0.680456:0.343053:0.680456:0.343053:0.664883:0.332936:0.664883:0.000000
⋅:@0.387335:0.694135:0.391942:0.694135:0.391942:0.678562:0.387335:0.678562:0.000000
=:@0.428852:0.680456:0.438969:0.680456:0.438969:0.664883:0.428852:0.664883:0.000000
⋅:@0.491045:0.694909:0.495652:0.694909:0.495652:0.679336:0.491045:0.679336:0.000000
2:@0.263059:0.671287:0.272051:0.671287:0.272051:0.654898:0.263059:0.654898:0.000000
35:@0.248298:0.693443:0.278188:0.693443:0.278188:0.677054:0.248298:0.677054:0.000000:0.000000
5:@0.310436:0.671287:0.319429:0.671287:0.319429:0.654898:0.310436:0.654898:0.000000
5:@0.310436:0.693443:0.319429:0.693443:0.319429:0.677054:0.310436:0.677054:0.000000
25:@0.366088:0.671287:0.396383:0.671287:0.396383:0.654898:0.366088:0.654898:0.000000:0.000000
35:@0.347144:0.693443:0.377034:0.693443:0.377034:0.677054:0.347144:0.677054:0.000000:0.000000
5:@0.406352:0.693443:0.415345:0.693443:0.415345:0.677054:0.406352:0.677054:0.000000
25:@0.469117:0.671287:0.499412:0.671287:0.499412:0.654898:0.469117:0.654898:0.000000:0.000000
3:@0.443041:0.694231:0.452034:0.694231:0.452034:0.677842:0.443041:0.677842:0.000000
5:@0.471733:0.694231:0.480726:0.694231:0.480726:0.677842:0.471733:0.677842:0.000000
5:@0.510044:0.694231:0.519037:0.694231:0.519037:0.677842:0.510044:0.677842:0.000000
2:@0.277871:0.685791:0.283083:0.685791:0.283083:0.676293:0.277871:0.676293:0.000000
6:@0.258712:0.685991:0.263924:0.685991:0.263924:0.676493:0.258712:0.676493:0.000000
4:@0.319543:0.663636:0.324755:0.663636:0.324755:0.654138:0.319543:0.654138:0.000000
6:@0.299967:0.663837:0.305179:0.663837:0.305179:0.654339:0.299967:0.654339:0.000000
4:@0.319543:0.685799:0.324755:0.685799:0.324755:0.676301:0.319543:0.676301:0.000000
6:@0.299967:0.685999:0.305179:0.685999:0.305179:0.676501:0.299967:0.676501:0.000000
4:@0.396501:0.663644:0.401712:0.663644:0.401712:0.654146:0.396501:0.654146:0.000000
6:@0.376925:0.663845:0.382137:0.663845:0.382137:0.654347:0.376925:0.654347:0.000000
2:@0.376711:0.685807:0.381923:0.685807:0.381923:0.676309:0.376711:0.676309:0.000000
6:@0.357552:0.686007:0.362764:0.686007:0.362764:0.676509:0.357552:0.676509:0.000000
4:@0.415457:0.685807:0.420669:0.685807:0.420669:0.676309:0.415457:0.676309:0.000000
6:@0.395881:0.686007:0.401093:0.686007:0.401093:0.676509:0.395881:0.676509:0.000000
4:@0.499538:0.663652:0.504750:0.663652:0.504750:0.654154:0.499538:0.654154:0.000000
6:@0.479962:0.663853:0.485174:0.663853:0.485174:0.654355:0.479962:0.654355:0.000000
2:@0.480432:0.686600:0.485644:0.686600:0.485644:0.677102:0.480432:0.677102:0.000000
6:@0.461273:0.686801:0.466485:0.686801:0.466485:0.677303:0.461273:0.677303:0.000000
4:@0.519178:0.686600:0.524390:0.686600:0.524390:0.677102:0.519178:0.677102:0.000000
6:@0.499602:0.686801:0.504814:0.686801:0.504814:0.677303:0.499602:0.677303:0.000000
 :@0.123592:0.743065:0.127406:0.743065:0.127406:0.726164:0.123592:0.726164:0.000000
=:@0.246826:0.743743:0.256942:0.743743:0.256942:0.728170:0.246826:0.728170:0.000000
⋅:@0.299750:0.757421:0.304357:0.757421:0.304357:0.741848:0.299750:0.741848:0.000000
=:@0.328755:0.743743:0.338872:0.743743:0.338872:0.728170:0.328755:0.728170:0.000000
=:@0.386765:0.743743:0.396882:0.743743:0.396882:0.728170:0.386765:0.728170:0.000000
⋅:@0.418424:0.754627:0.423031:0.754627:0.423031:0.739054:0.418424:0.739054:0.000000
=:@0.444767:0.743743:0.454884:0.743743:0.454884:0.728170:0.444767:0.728170:0.000000
=:@0.511364:0.743743:0.521481:0.743743:0.521481:0.728170:0.511364:0.728170:0.000000
25:@0.272949:0.734578:0.303244:0.734578:0.303244:0.718189:0.272949:0.718189:0.000000:0.000000
35 5:@0.261008:0.756734:0.315241:0.756734:0.315241:0.740345:0.261008:0.740345:0.000000:0.000000:0.000000:0.000000
25:@0.342937:0.734578:0.373233:0.734578:0.373233:0.718189:0.342937:0.718189:0.000000:0.000000
35:@0.343361:0.756734:0.373251:0.756734:0.373251:0.740345:0.343361:0.740345:0.000000:0.000000
25:@0.400948:0.734578:0.431243:0.734578:0.431243:0.718189:0.400948:0.718189:0.000000:0.000000
35:@0.408171:0.753954:0.433915:0.753954:0.433915:0.737565:0.408171:0.737565:0.000000:0.000000
2:@0.462570:0.734578:0.471562:0.734578:0.471562:0.718189:0.462570:0.718189:0.000000
15:@0.457797:0.753954:0.475580:0.753954:0.475580:0.737565:0.457797:0.737565:0.000000:0.000000
5:@0.490303:0.743070:0.499296:0.743070:0.499296:0.726681:0.490303:0.726681:0.000000
2:@0.529149:0.734578:0.538141:0.734578:0.538141:0.718189:0.529149:0.718189:0.000000
15:@0.524376:0.753954:0.542159:0.753954:0.542159:0.737565:0.524376:0.737565:0.000000:0.000000
5:@0.556882:0.743070:0.565875:0.743070:0.565875:0.726681:0.556882:0.726681:0.000000
4:@0.303365:0.726916:0.308577:0.726916:0.308577:0.717418:0.303365:0.717418:0.000000
6:@0.283789:0.727116:0.289001:0.727116:0.289001:0.717618:0.283789:0.717618:0.000000
2:@0.290592:0.749078:0.295804:0.749078:0.295804:0.739580:0.290592:0.739580:0.000000
4:@0.315358:0.749078:0.320570:0.749078:0.320570:0.739580:0.315358:0.739580:0.000000
6:@0.271433:0.749278:0.276645:0.749278:0.276645:0.739780:0.271433:0.739780:0.000000
4:@0.373360:0.726924:0.378571:0.726924:0.378571:0.717426:0.373360:0.717426:0.000000
6:@0.353784:0.727124:0.358995:0.727124:0.358995:0.717626:0.353784:0.717626:0.000000
6:@0.373156:0.749086:0.378368:0.749086:0.378368:0.739588:0.373156:0.739588:0.000000
6:@0.353784:0.749287:0.358995:0.749287:0.358995:0.739788:0.353784:0.739788:0.000000
4:@0.431371:0.726932:0.436583:0.726932:0.436583:0.717434:0.431371:0.717434:0.000000
6:@0.411796:0.727132:0.417007:0.727132:0.417007:0.717634:0.411796:0.717634:0.000000
4:@0.499433:0.735420:0.504644:0.735420:0.504644:0.725922:0.499433:0.725922:0.000000
6:@0.479857:0.735620:0.485069:0.735620:0.485069:0.726122:0.479857:0.726122:0.000000
2:@0.565604:0.735420:0.570815:0.735420:0.570815:0.725922:0.565604:0.725922:0.000000
3:@0.546551:0.735620:0.551763:0.735620:0.551763:0.726122:0.546551:0.726122:0.000000
+:@0.147445:0.819788:0.157562:0.819788:0.157562:0.804215:0.147445:0.804215:0.000000
2:@0.148017:0.798793:0.157009:0.798793:0.157009:0.782405:0.148017:0.782405:0.000000
2:@0.135302:0.819110:0.144294:0.819110:0.144294:0.802721:0.135302:0.802721:0.000000
3:@0.172212:0.819110:0.181205:0.819110:0.181205:0.802721:0.172212:0.802721:0.000000
 :@0.187390:0.799464:0.191204:0.799464:0.191204:0.782563:0.187390:0.782563:0.000000
En este ejemplo tenemos un caso tipo III. :@0.239319:0.799464:0.543227:0.799464:0.543227:0.783075:0.239319:0.783075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicaremos:@0.543172:0.799464:0.667098:0.799464:0.667098:0.782840:0.543172:0.782840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el numerador y el denomi-:@0.667098:0.799464:0.866632:0.799464:0.866632:0.783075:0.667098:0.783075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nador por la conjugada del denominador:  2– 3:@0.239319:0.824607:0.610239:0.824610:0.610239:0.808221:0.239319:0.808218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.118704:0.865892:0.122519:0.865892:0.122519:0.848991:0.118704:0.848991:0.000000
(:@0.411138:0.862562:0.417275:0.862562:0.417275:0.835154:0.411138:0.835154:0.000000
):@0.477570:0.862562:0.483706:0.862562:0.483706:0.835154:0.477570:0.835154:0.000000
( ) ( ):@0.392030:0.890733:0.485072:0.890733:0.485072:0.863325:0.392030:0.863325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.521181:0.862562:0.527318:0.862562:0.527318:0.835154:0.521181:0.835154:0.000000
):@0.587613:0.862562:0.593749:0.862562:0.593749:0.835154:0.587613:0.835154:0.000000
(:@0.630383:0.875244:0.636520:0.875244:0.636520:0.847836:0.630383:0.847836:0.000000
):@0.696815:0.875244:0.702952:0.875244:0.702952:0.847836:0.696815:0.847836:0.000000
+:@0.268063:0.880910:0.278179:0.880910:0.278179:0.865337:0.268063:0.865337:0.000000
⋅:@0.306024:0.869085:0.310630:0.869085:0.310630:0.853512:0.306024:0.853512:0.000000
=:@0.377855:0.869085:0.387971:0.869085:0.387971:0.853512:0.377855:0.853512:0.000000
=:@0.496842:0.869085:0.506959:0.869085:0.506959:0.853512:0.496842:0.853512:0.000000
=:@0.597936:0.869085:0.608053:0.869085:0.608053:0.853512:0.597936:0.853512:0.000000
2:@0.268634:0.859916:0.277627:0.859916:0.277627:0.843527:0.268634:0.843527:0.000000
2:@0.255919:0.880233:0.264912:0.880233:0.264912:0.863844:0.255919:0.863844:0.000000
3:@0.292829:0.880233:0.301822:0.880233:0.301822:0.863844:0.292829:0.863844:0.000000
2– 3:@0.326497:0.859916:0.372768:0.859916:0.372768:0.843527:0.326497:0.843527:0.000000:0.000000:0.000000:0.000000
2– 3:@0.326497:0.880233:0.372768:0.880233:0.372768:0.863844:0.326497:0.863844:0.000000:0.000000:0.000000:0.000000
2:@0.401000:0.855712:0.409992:0.855712:0.409992:0.839323:0.401000:0.839323:0.000000
2 –3:@0.430115:0.855712:0.476369:0.855712:0.476369:0.839323:0.430115:0.839323:0.000000:0.000000:0.000000:0.000000
2–:@0.410987:0.883884:0.447161:0.883884:0.447161:0.867495:0.410987:0.867495:0.000000:0.000000
3:@0.468740:0.883884:0.477732:0.883884:0.477732:0.867495:0.468740:0.867495:0.000000
2:@0.511031:0.855712:0.520024:0.855712:0.520024:0.839323:0.511031:0.839323:0.000000
2 –3:@0.540147:0.855712:0.586400:0.855712:0.586400:0.839323:0.540147:0.839323:0.000000:0.000000:0.000000:0.000000
2–3:@0.536516:0.879292:0.568802:0.879292:0.568802:0.862903:0.536516:0.862903:0.000000:0.000000:0.000000
–2:@0.611001:0.868408:0.629207:0.868408:0.629207:0.852019:0.611001:0.852019:0.000000:0.000000
2– 3:@0.649330:0.868408:0.695602:0.868408:0.695602:0.852019:0.649330:0.852019:0.000000:0.000000:0.000000:0.000000
2:@0.427996:0.871432:0.433208:0.871432:0.433208:0.861934:0.427996:0.861934:0.000000
2:@0.485324:0.871432:0.490536:0.871432:0.490536:0.861934:0.485324:0.861934:0.000000