25:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Ejemplo 2:@0.096359:0.132218:0.165865:0.132218:0.165865:0.117105:0.096359:0.117105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresar en forma exacta la cantidad de caucho que necesita el participante para :@0.096359:0.152693:0.698665:0.152693:0.698665:0.137023:0.096359:0.137023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las llantas de su coche.:@0.096359:0.169289:0.262333:0.169289:0.262333:0.153620:0.096359:0.153620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.192699:0.157020:0.192699:0.157020:0.177586:0.096359:0.177586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debemos calcular los perímetros en forma exacta. Esto es::@0.096359:0.216737:0.520390:0.216737:0.520390:0.201068:0.096359:0.201068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   Rueda pequeña  :@0.096359:0.264189:0.233055:0.264189:0.233055:0.248519:0.096359:0.248519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
               Rueda grande:@0.277281:0.264189:0.440790:0.264189:0.440790:0.248519:0.277281:0.248519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.096359:0.311807:0.108466:0.311807:0.108466:0.296137:0.096359:0.296137:0.000000:0.000000:0.000000
π:@0.142070:0.286931:0.152187:0.286931:0.156752:0.271358:0.146635:0.271358:0.000000
π:@0.151222:0.307680:0.161339:0.307680:0.165904:0.292107:0.155787:0.292107:0.000000
=:@0.121514:0.286929:0.131631:0.286929:0.131631:0.271356:0.121514:0.271356:0.000000
×:@0.158480:0.286929:0.168597:0.286929:0.168597:0.271356:0.158480:0.271356:0.000000
=:@0.121514:0.307674:0.131631:0.307674:0.131631:0.292101:0.121514:0.292101:0.000000
P:@0.108468:0.286251:0.117239:0.286251:0.117239:0.269890:0.108468:0.269890:0.000000
cm:@0.192276:0.286251:0.214187:0.286251:0.214187:0.269890:0.192276:0.269890:0.000000:0.000000
P:@0.108468:0.306996:0.117239:0.306996:0.117239:0.290635:0.108468:0.290635:0.000000
cm:@0.168873:0.306996:0.190405:0.306996:0.190405:0.290635:0.168873:0.290635:0.000000:0.000000
2:@0.134903:0.286251:0.143896:0.286251:0.143896:0.269862:0.134903:0.269862:0.000000
10:@0.170192:0.286251:0.187974:0.286251:0.187974:0.269862:0.170192:0.269862:0.000000:0.000000
20:@0.134903:0.306996:0.152686:0.306996:0.152686:0.290608:0.134903:0.290608:0.000000:0.000000
                         :@0.219817:0.311796:0.320709:0.311796:0.320709:0.296126:0.219817:0.296126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.321551:0.286546:0.330802:0.286546:0.335606:0.270158:0.326355:0.270158:0.000000
cm:@0.403020:0.286546:0.426165:0.286546:0.430969:0.270158:0.407824:0.270158:0.000000:0.000000
P:@0.321551:0.307292:0.330802:0.307292:0.335606:0.290903:0.326355:0.290903:0.000000
cm:@0.381644:0.307292:0.405699:0.307296:0.410503:0.290907:0.386448:0.290903:0.000000:0.000000
2:@0.349439:0.286549:0.358432:0.286549:0.358432:0.270160:0.349439:0.270160:0.000000
12:@0.383475:0.286549:0.401239:0.286549:0.401239:0.270160:0.383475:0.270160:0.000000:0.000000
24:@0.349439:0.307294:0.367222:0.307294:0.367222:0.290906:0.349439:0.290906:0.000000:0.000000
π:@0.357384:0.287224:0.367501:0.287224:0.372065:0.271651:0.361949:0.271651:0.000000
π:@0.366902:0.307973:0.377019:0.307973:0.381584:0.292400:0.371467:0.292400:0.000000
=:@0.336758:0.287227:0.346874:0.287227:0.346874:0.271654:0.336758:0.271654:0.000000
×:@0.372728:0.287227:0.382845:0.287227:0.382845:0.271654:0.372728:0.271654:0.000000
=:@0.336758:0.307972:0.346874:0.307972:0.346874:0.292399:0.336758:0.292399:0.000000
   Luego sumamos el perímetro de las cuatro ruedas::@0.096359:0.359249:0.479059:0.359249:0.479059:0.343579:0.096359:0.343579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.096359:0.409370:0.108466:0.409370:0.108466:0.393700:0.096359:0.393700:0.000000:0.000000:0.000000
π:@0.169291:0.381989:0.179408:0.381989:0.183973:0.366416:0.173856:0.366416:0.000000
π:@0.247664:0.381989:0.257781:0.381989:0.262346:0.366416:0.252229:0.366416:0.000000
π:@0.326405:0.381989:0.336522:0.381989:0.341087:0.366416:0.330970:0.366416:0.000000
π:@0.405147:0.381989:0.415263:0.381989:0.419828:0.366416:0.409711:0.366416:0.000000
π:@0.169291:0.402749:0.179408:0.402749:0.183973:0.387176:0.173856:0.387176:0.000000
=:@0.139563:0.381997:0.149680:0.381997:0.149680:0.366424:0.139563:0.366424:0.000000
+:@0.218452:0.381997:0.228569:0.381997:0.228569:0.366424:0.218452:0.366424:0.000000
+:@0.296843:0.381997:0.306960:0.381997:0.306960:0.366424:0.296843:0.366424:0.000000
+:@0.375585:0.381997:0.385701:0.381997:0.385701:0.366424:0.375585:0.366424:0.000000
=:@0.139563:0.402742:0.149680:0.402742:0.149680:0.387169:0.139563:0.387169:0.000000
L:@0.108466:0.381319:0.116095:0.381319:0.116095:0.364958:0.108466:0.364958:0.000000
cm:@0.188774:0.381319:0.210702:0.381319:0.210702:0.364958:0.188774:0.364958:0.000000:0.000000
cm:@0.267165:0.381319:0.289057:0.381319:0.289057:0.364958:0.267165:0.364958:0.000000:0.000000
cm:@0.345888:0.381319:0.367798:0.381319:0.367798:0.364958:0.345888:0.364958:0.000000:0.000000
cm:@0.424629:0.381319:0.446539:0.381319:0.446539:0.364958:0.424629:0.364958:0.000000:0.000000
L:@0.108466:0.402065:0.116095:0.402065:0.116095:0.385703:0.108466:0.385703:0.000000
cm:@0.186194:0.402065:0.208280:0.402065:0.208280:0.385703:0.186194:0.385703:0.000000:0.000000
20 (:@0.152965:0.381319:0.187591:0.381319:0.187591:0.364930:0.152965:0.364930:0.000000:0.000000:0.000000:0.000000
) 20 (:@0.211344:0.381319:0.265945:0.381319:0.265945:0.364930:0.211344:0.364930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) 24 (:@0.289698:0.381319:0.344686:0.381319:0.344686:0.364930:0.289698:0.364930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) 24 (:@0.368440:0.381319:0.423446:0.381319:0.423446:0.364930:0.368440:0.364930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.447199:0.381319:0.452083:0.381319:0.452083:0.364930:0.447199:0.364930:0.000000
88:@0.152965:0.402065:0.170748:0.402065:0.170748:0.385676:0.152965:0.385676:0.000000:0.000000
total:@0.114905:0.383323:0.133958:0.383323:0.133958:0.373841:0.114905:0.373841:0.000000:0.000000:0.000000:0.000000:0.000000
total:@0.114905:0.404067:0.133958:0.404067:0.133958:0.394585:0.114905:0.394585:0.000000:0.000000:0.000000:0.000000:0.000000
Sin embargo, esta respuesta para los fines indicados no resulta práctica. Por ello, :@0.096359:0.456824:0.698803:0.456824:0.698803:0.441154:0.096359:0.441154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se debe redondear el número irracional y obtener un valor que sea comprensible :@0.096359:0.473420:0.698683:0.473420:0.698683:0.457751:0.096359:0.457751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comercialmente.:@0.096359:0.490017:0.219435:0.490017:0.219435:0.474347:0.096359:0.474347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.096359:0.677191:0.165865:0.677191:0.165865:0.662078:0.096359:0.662078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Efectuar ::@0.096359:0.711245:0.163454:0.711245:0.163454:0.695575:0.096359:0.695575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.163454:0.726334:0.167490:0.726334:0.167490:0.710664:0.163454:0.710664:0.000000
−:@0.170472:0.713180:0.180588:0.713180:0.180588:0.697607:0.170472:0.697607:0.000000
+ +:@0.215288:0.713180:0.252567:0.713180:0.252567:0.697607:0.215288:0.697607:0.000000:0.000000:0.000000
−:@0.289827:0.713180:0.299944:0.713180:0.299944:0.697607:0.289827:0.697607:0.000000
+:@0.336111:0.713180:0.346228:0.713180:0.346228:0.697607:0.336111:0.697607:0.000000
=:@0.383230:0.713180:0.393347:0.713180:0.393347:0.697607:0.383230:0.697607:0.000000
32:@0.193664:0.712502:0.211446:0.712502:0.211446:0.696833:0.193664:0.696833:0.000000:0.000000
1:@0.230408:0.703540:0.239401:0.703540:0.239401:0.687871:0.230408:0.687871:0.000000
2:@0.229629:0.722993:0.238622:0.722993:0.238622:0.707324:0.229629:0.707324:0.000000
50 0,75:@0.267845:0.712502:0.334147:0.712502:0.334147:0.696833:0.267845:0.696833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
72:@0.361070:0.712502:0.378853:0.712502:0.378853:0.696833:0.361070:0.696833:0.000000:0.000000
Solución:@0.096359:0.743204:0.157020:0.743204:0.157020:0.728092:0.096359:0.728092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.787108:0.100395:0.787108:0.100395:0.771438:0.096359:0.771438:0.000000
−:@0.103379:0.782757:0.113495:0.782757:0.113495:0.767184:0.103379:0.767184:0.000000
× +:@0.146039:0.782757:0.181862:0.782757:0.181862:0.767184:0.146039:0.767184:0.000000:0.000000:0.000000
+:@0.209651:0.782757:0.219768:0.782757:0.219768:0.767184:0.209651:0.767184:0.000000
×−:@0.253251:0.782757:0.289074:0.782757:0.289074:0.767184:0.253251:0.767184:0.000000:0.000000
+:@0.325229:0.782757:0.335346:0.782757:0.335346:0.767184:0.325229:0.767184:0.000000
× =:@0.369990:0.782757:0.406329:0.782757:0.406329:0.767184:0.369990:0.767184:0.000000:0.000000:0.000000
2:@0.126542:0.782079:0.135535:0.782079:0.135535:0.766409:0.126542:0.766409:0.000000
2 0,5:@0.158901:0.782079:0.207679:0.782079:0.207679:0.766409:0.158901:0.766409:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.235026:0.782079:0.244018:0.782079:0.244018:0.766409:0.235026:0.766409:0.000000
20,75:@0.266113:0.782079:0.323276:0.782079:0.323276:0.766409:0.266113:0.766409:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.350991:0.782079:0.359984:0.782079:0.359984:0.766409:0.350991:0.766409:0.000000
2:@0.382871:0.782079:0.391863:0.782079:0.391863:0.766409:0.382871:0.766409:0.000000
4:@0.136099:0.774418:0.141311:0.774418:0.141311:0.765337:0.136099:0.765337:0.000000
2:@0.243729:0.774418:0.248940:0.774418:0.248940:0.765337:0.243729:0.765337:0.000000
2:@0.360478:0.774418:0.365690:0.774418:0.365690:0.765337:0.360478:0.765337:0.000000
−:@0.099343:0.814026:0.109460:0.814026:0.109460:0.798453:0.099343:0.798453:0.000000
+:@0.150701:0.814026:0.160818:0.814026:0.160818:0.798453:0.150701:0.798453:0.000000
+:@0.188607:0.814026:0.198723:0.814026:0.198723:0.798453:0.188607:0.798453:0.000000
−:@0.235192:0.814026:0.245309:0.814026:0.245309:0.798453:0.235192:0.798453:0.000000
+:@0.281473:0.814026:0.291590:0.814026:0.291590:0.798453:0.281473:0.798453:0.000000
=:@0.329735:0.814026:0.339852:0.814026:0.339852:0.798453:0.329735:0.798453:0.000000
2:@0.109290:0.813348:0.118283:0.813348:0.118283:0.797678:0.109290:0.797678:0.000000
2 0,55 20,756 2:@0.137871:0.813348:0.325391:0.813348:0.325391:0.797678:0.137871:0.797678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.118399:0.805686:0.123611:0.805686:0.123611:0.796604:0.118399:0.796604:0.000000
42 52 62:@0.115363:0.843739:0.236653:0.843739:0.236653:0.828070:0.115363:0.828070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(0,5 0,75):@0.257348:0.843739:0.335794:0.843739:0.335794:0.828070:0.257348:0.828070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.098977:0.850585:0.105113:0.850585:0.105113:0.823177:0.098977:0.823177:0.000000
):@0.238290:0.850585:0.244426:0.850585:0.244426:0.823177:0.238290:0.823177:0.000000
−:@0.105416:0.844417:0.115533:0.844417:0.115533:0.828844:0.105416:0.828844:0.000000
+:@0.149182:0.844417:0.159298:0.844417:0.159298:0.828844:0.149182:0.828844:0.000000
+:@0.193740:0.844417:0.203856:0.844417:0.203856:0.828844:0.193740:0.828844:0.000000
+:@0.245890:0.844417:0.256007:0.844417:0.256007:0.828844:0.245890:0.828844:0.000000
−:@0.287442:0.844417:0.297559:0.844417:0.297559:0.828844:0.287442:0.828844:0.000000
=:@0.338173:0.844417:0.348290:0.844417:0.348290:0.828844:0.338173:0.828844:0.000000
−:@0.133057:0.883326:0.143174:0.883326:0.143174:0.867753:0.133057:0.867753:0.000000
72 0,25 (valor exacto):@0.098560:0.882648:0.278781:0.883906:0.278781:0.868237:0.098560:0.866978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 9,65 (valor redondeado a las centésimas):@0.096367:0.907625:0.408509:0.907625:0.408509:0.891956:0.096367:0.891956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando los números irracionales que se suman o restan están expresados en :@0.107532:0.529887:0.686180:0.529887:0.686180:0.514217:0.107532:0.514217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales, es necesario observar si son semejantes.:@0.107532:0.546483:0.472576:0.546483:0.472576:0.530814:0.107532:0.530814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un radical es semejante a otro cuando el índice de la raíz y su radicando son :@0.107532:0.570202:0.686193:0.570202:0.686193:0.554533:0.107532:0.554533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales. A fin de conseguir radicales semejantes, se descomponen los radican-:@0.107532:0.586799:0.682115:0.586799:0.682115:0.571129:0.107532:0.571129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos en sus factores primos para extraer factores de la raíz, de acuerdo con las :@0.107532:0.603395:0.686141:0.603395:0.686141:0.587725:0.107532:0.587725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades de la radicación. Para sumar o restar radicales semejantes, se su-:@0.107532:0.619991:0.682069:0.619991:0.682069:0.604322:0.107532:0.604322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
man o restan los coeficientes.:@0.107532:0.636588:0.323537:0.636588:0.323537:0.620918:0.107532:0.620918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la :@0.749888:0.178319:0.882249:0.178319:0.882249:0.162955:0.749888:0.162955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adición de números :@0.742886:0.193407:0.889250:0.193407:0.889250:0.178043:0.742886:0.178043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales :@0.792875:0.208494:0.839246:0.208494:0.839246:0.193130:0.792875:0.193130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Clausurativa:@0.771033:0.233922:0.856804:0.233922:0.856804:0.218809:0.771033:0.218809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si a b c:@0.745027:0.251886:0.781674:0.251886:0.781674:0.241286:0.745027:0.241286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.763338:0.251886:0.775355:0.251886:0.775355:0.241096:0.763338:0.241096:0.000000:0.000000:0.000000
∈:@0.784212:0.252353:0.793260:0.252353:0.793260:0.241629:0.784212:0.241629:0.000000
!:@0.795497:0.252486:0.804659:0.252486:0.804659:0.240953:0.795497:0.240953:0.000000
⇒:@0.806781:0.252353:0.819306:0.252353:0.819306:0.241629:0.806781:0.241629:0.000000
a b c:@0.821488:0.251886:0.859760:0.251886:0.859760:0.241286:0.821488:0.241286:0.000000:0.000000:0.000000:0.000000:0.000000
+ =:@0.829064:0.252353:0.852540:0.252353:0.852540:0.241629:0.829064:0.241629:0.000000:0.000000:0.000000
∈:@0.862298:0.252353:0.871346:0.252353:0.871346:0.241629:0.862298:0.241629:0.000000
!:@0.873581:0.252486:0.882743:0.252486:0.882743:0.240953:0.873581:0.240953:0.000000
Conmutativa:@0.768763:0.276689:0.859074:0.276689:0.859074:0.261576:0.768763:0.261576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si a b:@0.750944:0.294938:0.779346:0.294938:0.779346:0.284065:0.750944:0.284065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.769727:0.294938:0.771992:0.294938:0.771992:0.283870:0.769727:0.283870:0.000000
∈ ⇒:@0.781376:0.295358:0.814933:0.295358:0.814933:0.282629:0.781376:0.282629:0.000000:0.000000:0.000000
!:@0.790514:0.295554:0.799912:0.295554:0.799912:0.283723:0.790514:0.283723:0.000000
a b b a:@0.816911:0.294938:0.876346:0.294938:0.876346:0.284065:0.816911:0.284065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ = +:@0.825229:0.295358:0.867806:0.295358:0.867806:0.282629:0.825229:0.282629:0.000000:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.779200:0.319458:0.848639:0.319458:0.848639:0.304345:0.779200:0.304345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Modulativa:@0.775213:0.374817:0.852643:0.374817:0.852643:0.359704:0.775213:0.359704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.770859:0.393838:0.777347:0.393838:0.777347:0.383063:0.770859:0.383063:0.000000
,0:@0.777786:0.393838:0.787125:0.393838:0.787125:0.382869:0.777786:0.382869:0.000000:0.000000
∈:@0.789329:0.394313:0.798526:0.394313:0.798526:0.383412:0.789329:0.383412:0.000000
!:@0.800799:0.394448:0.810112:0.394448:0.810112:0.382724:0.800799:0.382724:0.000000
⇒:@0.812269:0.394313:0.825001:0.394313:0.825001:0.383412:0.812269:0.383412:0.000000
a:@0.827221:0.393838:0.833709:0.393838:0.833709:0.383063:0.827221:0.383063:0.000000
+ =:@0.834917:0.394313:0.858525:0.394313:0.858525:0.383412:0.834917:0.383412:0.000000:0.000000:0.000000
0:@0.843199:0.393838:0.849494:0.393838:0.849494:0.382869:0.843199:0.382869:0.000000
a:@0.860496:0.393838:0.866984:0.393838:0.866984:0.383063:0.860496:0.383063:0.000000
Cancelativa:@0.773789:0.417580:0.854050:0.417580:0.854050:0.402467:0.773789:0.402467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.753875:0.436273:0.778552:0.436273:0.778552:0.425395:0.753875:0.425395:0.000000:0.000000:0.000000
,:@0.760868:0.436273:0.763134:0.436273:0.763134:0.425199:0.760868:0.425199:0.000000
− ∈ ⇒:@0.764202:0.436693:0.814155:0.436693:0.814155:0.423958:0.764202:0.423958:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.789725:0.436888:0.799127:0.436888:0.799127:0.425053:0.789725:0.425053:0.000000
a:@0.816134:0.436273:0.822684:0.436273:0.822684:0.425395:0.816134:0.425395:0.000000
+:@0.824455:0.436693:0.831605:0.436693:0.831605:0.423958:0.824455:0.423958:0.000000
(:@0.833037:0.436273:0.836488:0.436273:0.836488:0.425199:0.833037:0.425199:0.000000
−:@0.837334:0.436693:0.844483:0.436693:0.844483:0.423958:0.837334:0.423958:0.000000
a:@0.845135:0.436273:0.851685:0.436273:0.851685:0.425395:0.845135:0.425395:0.000000
) 0:@0.852388:0.436273:0.873471:0.436273:0.873471:0.425199:0.852388:0.425199:0.000000:0.000000:0.000000
=:@0.857714:0.436693:0.864863:0.436693:0.864863:0.423958:0.857714:0.423958:0.000000
Recuerda que...:@0.763836:0.153294:0.885918:0.153294:0.885918:0.136393:0.763836:0.136393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si a b c:@0.745261:0.337281:0.783209:0.337281:0.783209:0.326305:0.745261:0.326305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.764222:0.337281:0.776665:0.337281:0.776665:0.326108:0.764222:0.326108:0.000000:0.000000:0.000000
∈ ⇒:@0.785588:0.337705:0.819462:0.337705:0.819462:0.324855:0.785588:0.324855:0.000000:0.000000:0.000000
!:@0.794812:0.337902:0.804299:0.337902:0.804299:0.325960:0.794812:0.325960:0.000000
a b:@0.826058:0.337281:0.850025:0.337281:0.850025:0.326305:0.826058:0.326305:0.000000:0.000000:0.000000
+:@0.834454:0.337705:0.841668:0.337705:0.841668:0.324855:0.834454:0.324855:0.000000
(:@0.820890:0.339021:0.825266:0.339021:0.825266:0.322187:0.820890:0.322187:0.000000
):@0.850717:0.339021:0.855093:0.339021:0.855093:0.322187:0.850717:0.322187:0.000000
+ = +:@0.856388:0.337705:0.899053:0.337705:0.899053:0.324855:0.856388:0.324855:0.000000:0.000000:0.000000:0.000000:0.000000
c a:@0.865612:0.337281:0.890052:0.337281:0.890052:0.326305:0.865612:0.326305:0.000000:0.000000:0.000000
b c:@0.905386:0.337281:0.928473:0.337281:0.928473:0.326305:0.905386:0.326305:0.000000:0.000000:0.000000
+:@0.913783:0.337705:0.920997:0.337705:0.920997:0.324855:0.913783:0.324855:0.000000
(:@0.900511:0.339021:0.904886:0.339021:0.904886:0.322187:0.900511:0.322187:0.000000
):@0.929510:0.339021:0.933886:0.339021:0.933886:0.322187:0.929510:0.322187:0.000000
:@0.717906:0.352261:0.727220:0.352261:0.727220:0.340537:0.717906:0.340537:0.000000
(:@0.743668:0.353435:0.747964:0.353435:0.747964:0.339155:0.743668:0.339155:0.000000
):@0.773388:0.353435:0.777684:0.353435:0.777684:0.339155:0.773388:0.339155:0.000000
(:@0.823296:0.353435:0.827591:0.353435:0.827591:0.339155:0.823296:0.339155:0.000000
):@0.852216:0.353435:0.856512:0.353435:0.856512:0.339155:0.852216:0.339155:0.000000
∈:@0.708781:0.352125:0.717979:0.352125:0.717979:0.341224:0.708781:0.341224:0.000000
+:@0.757193:0.352125:0.764274:0.352125:0.764274:0.341224:0.757193:0.341224:0.000000
+= +:@0.779178:0.352125:0.821656:0.352125:0.821656:0.341224:0.779178:0.341224:0.000000:0.000000:0.000000:0.000000
+:@0.836567:0.352125:0.843649:0.352125:0.843649:0.341224:0.836567:0.341224:0.000000
Si ab c:@0.668544:0.351651:0.706378:0.351651:0.706378:0.340198:0.668544:0.340198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.748726:0.351651:0.772694:0.351651:0.772694:0.340198:0.748726:0.340198:0.000000:0.000000:0.000000
c a:@0.788444:0.351651:0.812604:0.351651:0.812604:0.340198:0.788444:0.340198:0.000000:0.000000:0.000000
b c:@0.828109:0.351651:0.851212:0.351651:0.851212:0.340198:0.828109:0.340198:0.000000:0.000000:0.000000
,,:@0.687454:0.351651:0.699811:0.351651:0.699811:0.340682:0.687454:0.340682:0.000000:0.000000
La suma de dos :@0.733044:0.706060:0.840812:0.706060:0.840812:0.691815:0.733044:0.691815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números irracionales no :@0.733044:0.721148:0.897082:0.721148:0.897082:0.706902:0.733044:0.706902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre es un número :@0.733044:0.736235:0.887079:0.736235:0.887079:0.721990:0.733044:0.721990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracional; por ejemplo: :@0.733044:0.751323:0.889377:0.751323:0.889377:0.737078:0.733044:0.737078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.773040:0.778100:0.779177:0.778100:0.779177:0.749913:0.773040:0.749913:0.000000
):@0.814023:0.778100:0.820160:0.778100:0.820160:0.749913:0.814023:0.749913:0.000000
+−:@0.760580:0.772432:0.790377:0.772432:0.790377:0.756859:0.760580:0.756859:0.000000:0.000000
=:@0.822828:0.772432:0.832945:0.772432:0.832945:0.756859:0.822828:0.756859:0.000000
3:@0.748173:0.771754:0.757166:0.771754:0.757166:0.756084:0.748173:0.756084:0.000000
3:@0.803456:0.771754:0.812449:0.771754:0.812449:0.756084:0.803456:0.756084:0.000000
0:@0.836227:0.771754:0.845220:0.771754:0.845220:0.756084:0.836227:0.756084:0.000000
.:@0.848635:0.770023:0.851550:0.770023:0.851550:0.755777:0.848635:0.755777:0.000000
La suma de un número :@0.733044:0.796011:0.891470:0.796011:0.891470:0.781766:0.733044:0.781766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional y un irracional :@0.733044:0.811099:0.886662:0.811099:0.886662:0.796853:0.733044:0.796853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre es un número :@0.733044:0.826186:0.887079:0.826186:0.887079:0.811941:0.733044:0.811941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracional.:@0.733044:0.841274:0.796904:0.841274:0.796904:0.827029:0.733044:0.827029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.765616:0.681550:0.867484:0.681550:0.867484:0.664650:0.765616:0.664650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000