Archivo Editorial:@0.628216:0.789100:0.693379:0.789100:0.693379:0.780553:0.628216:0.780553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
25:@0.942817:0.963886:0.964167:0.963886:0.964167:0.945448:0.942817:0.945448:0.000000:0.000000
Definición de exponentes racionales:@0.096359:0.137532:0.473276:0.137532:0.473276:0.115723:0.096359:0.115723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Introducción y extracción de factores de un radical:@0.096359:0.286817:0.619878:0.286817:0.619878:0.265008:0.096359:0.265008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones con radicales:@0.096359:0.485141:0.368205:0.485141:0.368205:0.463332:0.096359:0.463332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición de radicales:@0.096359:0.511558:0.284759:0.511558:0.284759:0.491585:0.096359:0.491585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.096359:0.536395:0.160353:0.536395:0.160353:0.521282:0.096359:0.521282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.103985:0.570347:0.122707:0.570347:0.122707:0.553446:0.103985:0.553446:0.000000:0.000000:0.000000
Sumar::@0.122707:0.570347:0.173474:0.570347:0.173474:0.554677:0.122707:0.554677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    :@0.103985:0.593236:0.120127:0.593236:0.120127:0.577566:0.103985:0.577566:0.000000:0.000000:0.000000:0.000000
−:@0.157559:0.590136:0.167676:0.590136:0.167676:0.574563:0.157559:0.574563:0.000000
−:@0.204881:0.590136:0.214998:0.590136:0.214998:0.574563:0.204881:0.574563:0.000000
+:@0.243045:0.590136:0.253161:0.590136:0.253161:0.574563:0.243045:0.574563:0.000000
54 74:@0.122749:0.589458:0.200698:0.589458:0.200698:0.573788:0.122749:0.573788:0.000000:0.000000:0.000000:0.000000:0.000000
48 4:@0.230293:0.589458:0.286608:0.589458:0.286608:0.573788:0.230293:0.573788:0.000000:0.000000:0.000000:0.000000
3:@0.133214:0.582620:0.138426:0.582620:0.138426:0.573539:0.133214:0.573539:0.000000
3:@0.180536:0.582620:0.185747:0.582620:0.185747:0.573539:0.180536:0.573539:0.000000
3:@0.219124:0.582620:0.224336:0.582620:0.224336:0.573539:0.219124:0.573539:0.000000
3:@0.266445:0.582620:0.271657:0.582620:0.271657:0.573539:0.266445:0.573539:0.000000
Como son :@0.403211:0.561420:0.482929:0.561420:0.482929:0.545750:0.403211:0.545750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales semejantes, :@0.482929:0.561420:0.641405:0.561420:0.641405:0.545750:0.482929:0.545750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicamos la propiedad distributiva: :@0.403211:0.578016:0.668123:0.578016:0.668123:0.562347:0.403211:0.562347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−− +:@0.446295:0.597805:0.500970:0.597805:0.500970:0.582232:0.446295:0.582232:0.000000:0.000000:0.000000:0.000000
=:@0.521277:0.597805:0.531394:0.597805:0.531394:0.582232:0.521277:0.582232:0.000000
4(57 18)5 4:@0.419077:0.597127:0.565300:0.597127:0.565300:0.581458:0.419077:0.581458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.407922:0.590290:0.413133:0.590290:0.413133:0.581209:0.407922:0.581209:0.000000
3:@0.545134:0.590290:0.550346:0.590290:0.550346:0.581209:0.545134:0.581209:0.000000
b):@0.103985:0.644010:0.120201:0.644010:0.120201:0.627109:0.103985:0.627109:0.000000:0.000000
 Sumar: :@0.120201:0.644010:0.179039:0.644010:0.179039:0.628340:0.120201:0.628340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.103985:0.666899:0.122597:0.666899:0.122597:0.649763:0.103985:0.649763:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.159294:0.663798:0.169411:0.663798:0.169411:0.648225:0.159294:0.648225:0.000000
−:@0.207354:0.663798:0.217470:0.663798:0.217470:0.648225:0.207354:0.648225:0.000000
+:@0.255100:0.663798:0.265216:0.663798:0.265216:0.648225:0.255100:0.648225:0.000000
72 43 62 53:@0.124798:0.663121:0.297870:0.663121:0.297870:0.647451:0.124798:0.647451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Agrupamos los :@0.403211:0.626785:0.517849:0.626785:0.517849:0.611115:0.403211:0.611115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos de acuerdo :@0.517849:0.626785:0.674869:0.626785:0.674869:0.611115:0.517849:0.611115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con los radicales semejantes y :@0.403211:0.643381:0.627379:0.643381:0.627379:0.627711:0.403211:0.627711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumamos: :@0.403211:0.659977:0.482339:0.659977:0.482339:0.644308:0.403211:0.644308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.445196:0.679766:0.455313:0.679766:0.455313:0.664193:0.445196:0.664193:0.000000
−:@0.475454:0.679766:0.485571:0.679766:0.485571:0.664193:0.475454:0.664193:0.000000
−:@0.528802:0.679766:0.538919:0.679766:0.538919:0.664193:0.528802:0.664193:0.000000
=:@0.558434:0.679766:0.568550:0.679766:0.568550:0.664193:0.558434:0.664193:0.000000
+:@0.597169:0.679766:0.607285:0.679766:0.607285:0.664193:0.597169:0.664193:0.000000
2(76):@0.418328:0.679088:0.473206:0.679088:0.473206:0.663419:0.418328:0.663419:0.000000:0.000000:0.000000:0.000000:0.000000
3(4 5):@0.500829:0.679088:0.555669:0.679088:0.555669:0.663419:0.500829:0.663419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.584346:0.679088:0.593339:0.679088:0.593339:0.663419:0.584346:0.663419:0.000000
3:@0.622565:0.679088:0.631558:0.679088:0.631558:0.663419:0.622565:0.663419:0.000000
c):@0.103985:0.718805:0.117806:0.718805:0.117806:0.701905:0.103985:0.701905:0.000000:0.000000
 Sumar:  :@0.117806:0.718805:0.180679:0.718805:0.180679:0.703136:0.117806:0.703136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.103985:0.746715:0.112314:0.746715:0.112314:0.729579:0.103985:0.729579:0.000000:0.000000:0.000000
−−:@0.148724:0.741109:0.185653:0.741109:0.185653:0.725536:0.148724:0.725536:0.000000:0.000000
−:@0.245358:0.741109:0.255475:0.741109:0.255475:0.725536:0.245358:0.725536:0.000000
+:@0.277459:0.741109:0.287576:0.741109:0.287576:0.725536:0.277459:0.725536:0.000000
−:@0.356808:0.741109:0.366925:0.741109:0.366925:0.725536:0.356808:0.725536:0.000000
ax a:@0.113840:0.740431:0.171224:0.740431:0.171224:0.724070:0.113840:0.724070:0.000000:0.000000:0.000000:0.000000
a xa:@0.210438:0.740431:0.267858:0.740431:0.267858:0.724070:0.210438:0.724070:0.000000:0.000000:0.000000:0.000000
ax a:@0.321888:0.740431:0.379327:0.740431:0.379327:0.724070:0.321888:0.724070:0.000000:0.000000:0.000000:0.000000
9(:@0.200911:0.740431:0.231703:0.740431:0.231703:0.724761:0.200911:0.724761:0.000000:0.000000
):@0.268853:0.740431:0.273737:0.740431:0.273737:0.724761:0.268853:0.724761:0.000000
49(:@0.303571:0.740431:0.343154:0.740431:0.343154:0.724761:0.303571:0.724761:0.000000:0.000000:0.000000
):@0.380322:0.740431:0.385205:0.740431:0.385205:0.724761:0.380322:0.724761:0.000000
2:@0.220288:0.732768:0.225500:0.732768:0.225500:0.723687:0.220288:0.723687:0.000000
2:@0.331741:0.732768:0.336953:0.732768:0.336953:0.723687:0.331741:0.723687:0.000000
Por extracción :@0.403211:0.708747:0.511842:0.708747:0.511842:0.693077:0.403211:0.693077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de factores, :@0.511842:0.708747:0.599926:0.708747:0.599926:0.693077:0.511842:0.693077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transformamos a radicales semejantes::@0.403211:0.725343:0.685683:0.725343:0.685683:0.709673:0.403211:0.709673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−−:@0.441060:0.745722:0.477989:0.745722:0.477989:0.730149:0.441060:0.730149:0.000000:0.000000
−:@0.529641:0.745722:0.539758:0.745722:0.539758:0.730149:0.529641:0.730149:0.000000
+:@0.561742:0.745722:0.571859:0.745722:0.571859:0.730149:0.561742:0.730149:0.000000
−:@0.630883:0.745722:0.640999:0.745722:0.640999:0.730149:0.630883:0.730149:0.000000
=:@0.406195:0.769453:0.416311:0.769453:0.416311:0.753880:0.406195:0.753880:0.000000
−:@0.463210:0.769453:0.473326:0.769453:0.473326:0.753880:0.463210:0.753880:0.000000
ax a:@0.406195:0.745044:0.463578:0.745044:0.463578:0.728683:0.406195:0.728683:0.000000:0.000000:0.000000:0.000000
a:@0.489487:0.745044:0.498757:0.745044:0.498757:0.728683:0.489487:0.728683:0.000000
xa:@0.518290:0.745044:0.552160:0.745044:0.552160:0.728683:0.518290:0.728683:0.000000:0.000000
a:@0.583726:0.745044:0.592995:0.745044:0.592995:0.728683:0.583726:0.728683:0.000000
x a:@0.619531:0.745044:0.653401:0.745044:0.653401:0.728683:0.619531:0.728683:0.000000:0.000000:0.000000
ax a:@0.428345:0.768777:0.485728:0.768777:0.485728:0.752415:0.428345:0.752415:0.000000:0.000000:0.000000:0.000000
3:@0.480753:0.745044:0.489745:0.745044:0.489745:0.729374:0.480753:0.729374:0.000000
(:@0.511121:0.745044:0.516005:0.745044:0.516005:0.729374:0.511121:0.729374:0.000000
)7:@0.553155:0.745044:0.583192:0.745044:0.583192:0.729374:0.553155:0.729374:0.000000:0.000000
(:@0.612353:0.745044:0.617236:0.745044:0.617236:0.729374:0.612353:0.729374:0.000000
):@0.654386:0.745044:0.659270:0.745044:0.659270:0.729374:0.654386:0.729374:0.000000
5:@0.419596:0.768775:0.428589:0.768775:0.428589:0.753106:0.419596:0.753106:0.000000
Multiplicación de radicales:@0.096359:0.831443:0.346936:0.831443:0.346936:0.811470:0.096359:0.811470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.096359:0.852715:0.153719:0.852715:0.153719:0.837603:0.096359:0.837603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicar:   2:@0.096359:0.875704:0.209696:0.875704:0.209696:0.860034:0.096359:0.860034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.212736:0.876382:0.186827:0.876382:0.186827:0.860809:0.212736:0.860809:0.000000
⋅:@0.243252:0.876382:0.217343:0.876382:0.217343:0.860809:0.243252:0.860809:0.000000
a:@0.262104:0.875704:0.271373:0.875704:0.271373:0.859343:0.262104:0.859343:0.000000
2:@0.231219:0.875704:0.240212:0.875704:0.240212:0.860034:0.231219:0.860034:0.000000
3:@0.190278:0.868868:0.195490:0.868868:0.195490:0.859786:0.190278:0.859786:0.000000
4:@0.220694:0.868868:0.225905:0.868868:0.225905:0.859786:0.220694:0.859786:0.000000
6:@0.251216:0.868868:0.256428:0.868868:0.256428:0.859786:0.251216:0.859786:0.000000
Transformamos a índice común, obteniendo el m.c.m. de los índices: m.c.m. (3, 4, 6) = 12:@0.096359:0.899429:0.693302:0.899429:0.693302:0.883759:0.096359:0.883759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.131172:0.929363:0.135779:0.929363:0.135779:0.913790:0.131172:0.913790:0.000000
⋅:@0.154778:0.929363:0.159385:0.929363:0.159385:0.913790:0.154778:0.913790:0.000000
=:@0.182475:0.929363:0.192591:0.929363:0.192591:0.913790:0.182475:0.913790:0.000000
a:@0.161117:0.928685:0.170386:0.928685:0.170386:0.912324:0.161117:0.912324:0.000000
a:@0.225816:0.928685:0.235086:0.928685:0.235086:0.912324:0.225816:0.912324:0.000000
22:@0.112483:0.928685:0.146132:0.928685:0.146132:0.913016:0.112483:0.913016:0.000000:0.000000
2:@0.209394:0.928685:0.218387:0.928685:0.218387:0.913016:0.209394:0.913016:0.000000
4:@0.122012:0.921024:0.127224:0.921024:0.127224:0.911942:0.122012:0.911942:0.000000
3:@0.146255:0.921024:0.151466:0.921024:0.151466:0.911942:0.146255:0.911942:0.000000
2:@0.170957:0.921024:0.176168:0.921024:0.176168:0.911942:0.170957:0.911942:0.000000
12:@0.098602:0.921144:0.108887:0.921144:0.108887:0.912063:0.098602:0.912063:0.000000:0.000000
7:@0.218285:0.921024:0.223496:0.921024:0.223496:0.911942:0.218285:0.911942:0.000000
2:@0.235660:0.921024:0.240872:0.921024:0.240872:0.911942:0.235660:0.911942:0.000000
12:@0.195513:0.921141:0.205798:0.921141:0.205798:0.912060:0.195513:0.912060:0.000000:0.000000
Para cualquier exponente racional :@0.110882:0.175718:0.368941:0.175718:0.368941:0.160048:0.110882:0.160048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.403094:0.176323:0.417430:0.176323:0.417430:0.160266:0.403094:0.160266:0.000000
∈:@0.390070:0.176738:0.403209:0.176738:0.403209:0.158717:0.390070:0.158717:0.000000
≠:@0.439383:0.176738:0.449499:0.176738:0.449499:0.158717:0.439383:0.158717:0.000000
m:@0.371329:0.167181:0.385961:0.167181:0.385961:0.151788:0.371329:0.151788:0.000000
n:@0.374213:0.186626:0.383721:0.186626:0.383721:0.171233:0.374213:0.171233:0.000000
,n 0  expresado en su forma más :@0.418033:0.176143:0.682800:0.175714:0.682800:0.160044:0.418033:0.160473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplificada, donde   y   son números enteros y   > 0, se define :@0.107528:0.197082:0.586499:0.197086:0.586499:0.181416:0.107528:0.181412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.255117:0.197086:0.295437:0.197086:0.295437:0.180725:0.255117:0.180725:0.000000:0.000000:0.000000
n:@0.471124:0.197086:0.480632:0.197086:0.480632:0.180725:0.471124:0.180725:0.000000
=:@0.620471:0.198383:0.630588:0.198383:0.630588:0.180362:0.620471:0.180362:0.000000
a:@0.586491:0.197789:0.595760:0.197789:0.595760:0.182395:0.586491:0.182395:0.000000
a:@0.646749:0.197789:0.656018:0.197789:0.656018:0.182395:0.646749:0.182395:0.000000
mn:@0.596331:0.190124:0.615714:0.190124:0.615714:0.181203:0.596331:0.181203:0.000000:0.000000
m:@0.656607:0.190124:0.665087:0.190124:0.665087:0.181203:0.656607:0.181203:0.000000
n:@0.635856:0.190252:0.641367:0.190252:0.641367:0.181331:0.635856:0.181331:0.000000
/:@0.605601:0.190124:0.609349:0.190124:0.609349:0.181042:0.605601:0.181042:0.000000
 :@0.675282:0.197092:0.679317:0.197092:0.679317:0.181422:0.675282:0.181422:0.000000
Las leyes con exponentes enteros también se cumplen para los exponentes :@0.107526:0.220811:0.686235:0.220811:0.686235:0.205141:0.107526:0.205141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales.:@0.107526:0.237407:0.184165:0.237407:0.184165:0.221738:0.107526:0.221738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Introducción:@0.096359:0.308187:0.198264:0.308187:0.198264:0.291286:0.096359:0.291286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para introducir factores en un radical, se  Para extraer factores de un radical, se :@0.096359:0.331906:0.698751:0.331902:0.698751:0.316233:0.096359:0.316236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elevan los factores al índice de la raíz.:@0.096359:0.348502:0.368220:0.348502:0.368220:0.332833:0.096359:0.332833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.096359:0.373974:0.160353:0.373974:0.160353:0.358861:0.096359:0.358861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)   :@0.096359:0.399477:0.123042:0.399477:0.123042:0.382341:0.096359:0.382341:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.160867:0.399173:0.170984:0.399173:0.170984:0.383600:0.160867:0.383600:0.000000
⋅ =:@0.206936:0.399173:0.237840:0.399173:0.237840:0.383600:0.206936:0.383600:0.000000:0.000000:0.000000
=:@0.158616:0.424751:0.168733:0.424751:0.168733:0.409179:0.158616:0.409179:0.000000
⋅ =:@0.202179:0.424751:0.231184:0.424751:0.231184:0.409179:0.202179:0.409179:0.000000:0.000000:0.000000
ax x:@0.105378:0.398502:0.154981:0.398495:0.154981:0.382134:0.105378:0.382140:0.000000:0.000000:0.000000:0.000000
x:@0.188242:0.398495:0.195706:0.398495:0.195706:0.382134:0.188242:0.382134:0.000000
x:@0.214371:0.398495:0.221834:0.398495:0.221834:0.382134:0.214371:0.382134:0.000000
x:@0.255096:0.398495:0.262559:0.398495:0.262559:0.382134:0.255096:0.382134:0.000000
b:@0.105003:0.424068:0.114272:0.424068:0.114272:0.407706:0.105003:0.407706:0.000000
):@0.115636:0.398495:0.120519:0.398495:0.120519:0.382826:0.115636:0.382826:0.000000
.:@0.272013:0.398495:0.275219:0.398495:0.275219:0.382826:0.272013:0.382826:0.000000
)2 3:@0.115267:0.424068:0.154679:0.424074:0.154679:0.408404:0.115267:0.408398:0.000000:0.000000:0.000000:0.000000
2 3:@0.184532:0.424074:0.217134:0.424074:0.217134:0.408404:0.184532:0.408404:0.000000:0.000000:0.000000
24.:@0.246986:0.424074:0.269564:0.424074:0.269564:0.408404:0.246986:0.408404:0.000000:0.000000:0.000000
4:@0.135529:0.391659:0.140741:0.391659:0.140741:0.382578:0.135529:0.382578:0.000000
4:@0.197770:0.390833:0.202982:0.390833:0.202982:0.381752:0.197770:0.381752:0.000000
4:@0.176251:0.390954:0.181463:0.390954:0.181463:0.381872:0.176251:0.381872:0.000000
5:@0.264198:0.390833:0.269410:0.390833:0.269410:0.381752:0.264198:0.381752:0.000000
4:@0.243106:0.390954:0.248317:0.390954:0.248317:0.381872:0.243106:0.381872:0.000000
3:@0.135262:0.417236:0.140474:0.417236:0.140474:0.408154:0.135262:0.408154:0.000000
3:@0.193637:0.416410:0.198849:0.416410:0.198849:0.407329:0.193637:0.407329:0.000000
3:@0.174115:0.416530:0.179327:0.416530:0.179327:0.407449:0.174115:0.407449:0.000000
3:@0.236570:0.417236:0.241781:0.417236:0.241781:0.408154:0.236570:0.408154:0.000000
 :@0.278292:0.399477:0.282014:0.399477:0.282014:0.382341:0.278292:0.382341:0.000000
b)  :@0.096355:0.423196:0.120459:0.423196:0.120459:0.406060:0.096355:0.406060:0.000000:0.000000:0.000000:0.000000
Extracción :@0.405571:0.308183:0.492476:0.308183:0.492476:0.291283:0.405571:0.291283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descompone el radicando en factores. :@0.405571:0.348499:0.698718:0.348499:0.698718:0.332829:0.405571:0.332829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, se extraen aquellos factores que :@0.405571:0.365095:0.698723:0.365095:0.698723:0.349425:0.405571:0.349425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen raíz exacta.:@0.405571:0.381691:0.536792:0.381691:0.536792:0.366022:0.405571:0.366022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.405580:0.407167:0.462940:0.407167:0.462940:0.392054:0.405580:0.392054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.419529:0.429920:0.427896:0.429920:0.427896:0.414251:0.419529:0.414251:0.000000
a:@0.470003:0.429920:0.478369:0.429920:0.478369:0.414251:0.470003:0.414251:0.000000
a:@0.498750:0.429920:0.507116:0.429920:0.507116:0.414251:0.498750:0.414251:0.000000
a:@0.527497:0.429920:0.535863:0.429920:0.535863:0.414251:0.527497:0.414251:0.000000
a:@0.467796:0.455498:0.476163:0.455498:0.476163:0.439828:0.467796:0.439828:0.000000
a:@0.510512:0.455498:0.518878:0.455498:0.518878:0.439828:0.510512:0.439828:0.000000
a:@0.553227:0.455498:0.561593:0.455498:0.561593:0.439828:0.553227:0.439828:0.000000
a:@0.587208:0.455498:0.595574:0.455498:0.595574:0.439828:0.587208:0.439828:0.000000
a:@0.615162:0.455498:0.623528:0.455498:0.623528:0.439828:0.615162:0.439828:0.000000
14:@0.427172:0.422258:0.437456:0.422258:0.437456:0.413177:0.427172:0.413177:0.000000:0.000000
5:@0.409059:0.422298:0.414271:0.422298:0.414271:0.413217:0.409059:0.413217:0.000000
5:@0.478317:0.422258:0.483528:0.422258:0.483528:0.413177:0.478317:0.413177:0.000000
5:@0.507056:0.422258:0.512267:0.422258:0.512267:0.413177:0.507056:0.413177:0.000000
4:@0.536222:0.422258:0.541433:0.422258:0.541433:0.413177:0.536222:0.413177:0.000000
5:@0.459531:0.422298:0.464743:0.422298:0.464743:0.413217:0.459531:0.413217:0.000000
5:@0.476127:0.447835:0.481339:0.447835:0.481339:0.438753:0.476127:0.438753:0.000000
5:@0.457331:0.447875:0.462543:0.447875:0.462543:0.438794:0.457331:0.438794:0.000000
5:@0.518846:0.447835:0.524058:0.447835:0.524058:0.438753:0.518846:0.438753:0.000000
5:@0.500050:0.447875:0.505262:0.447875:0.505262:0.438794:0.500050:0.438794:0.000000
4:@0.561981:0.447835:0.567193:0.447835:0.567193:0.438753:0.561981:0.438753:0.000000
5:@0.542768:0.447875:0.547980:0.447875:0.547980:0.438794:0.542768:0.438794:0.000000
2 5:@0.595533:0.447837:0.609907:0.447876:0.609907:0.438794:0.595533:0.438755:0.000000:0.000000:0.000000
4:@0.623909:0.447837:0.629121:0.447837:0.629121:0.438755:0.623909:0.438755:0.000000
=:@0.444395:0.430598:0.454512:0.430598:0.454512:0.415025:0.444395:0.415025:0.000000
×:@0.486797:0.430598:0.496914:0.430598:0.496914:0.415025:0.486797:0.415025:0.000000
×:@0.515544:0.430598:0.525661:0.430598:0.525661:0.415025:0.515544:0.415025:0.000000
=:@0.442197:0.456175:0.452314:0.456175:0.452314:0.440602:0.442197:0.440602:0.000000
×:@0.486073:0.456175:0.496190:0.456175:0.496190:0.440602:0.486073:0.440602:0.000000
×:@0.528789:0.456175:0.538905:0.456175:0.538905:0.440602:0.528789:0.440602:0.000000
=:@0.574121:0.456175:0.584237:0.456175:0.584237:0.440602:0.574121:0.440602:0.000000
•  Para sumar o restar :@0.733044:0.672674:0.874183:0.672674:0.874183:0.658428:0.733044:0.658428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales, es necesario :@0.747283:0.687761:0.893899:0.687761:0.893899:0.673516:0.747283:0.673516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que sean radicales :@0.747283:0.702849:0.870665:0.702849:0.870665:0.688604:0.747283:0.688604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semejantes, es decir, :@0.747283:0.717936:0.883194:0.717936:0.883194:0.703691:0.747283:0.703691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que tengan la misma :@0.747283:0.733024:0.888873:0.733024:0.888873:0.718779:0.747283:0.718779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidad subradical y :@0.747283:0.748112:0.889057:0.748112:0.889057:0.733866:0.747283:0.733866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el mismo índice.:@0.747283:0.763199:0.853326:0.763199:0.853326:0.748954:0.747283:0.748954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Para multiplicar :@0.733044:0.781845:0.851333:0.781845:0.851333:0.767600:0.733044:0.767600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varios radicales que :@0.747283:0.796933:0.878269:0.796933:0.878269:0.782687:0.747283:0.782687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen el mismo :@0.747283:0.812020:0.856610:0.812020:0.856610:0.797775:0.747283:0.797775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
índice, aplicamos :@0.747283:0.827108:0.863242:0.827108:0.863242:0.812863:0.747283:0.812863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la propiedad de :@0.747283:0.842196:0.853961:0.842196:0.853961:0.827950:0.747283:0.827950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los radicales. Si los :@0.747283:0.857283:0.868199:0.857283:0.868199:0.843038:0.747283:0.843038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales tienen :@0.747283:0.872371:0.853159:0.872371:0.853159:0.858126:0.747283:0.858126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferente índice, los :@0.747283:0.887458:0.877031:0.887458:0.877031:0.873213:0.747283:0.873213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reducimos a un índice :@0.747283:0.902546:0.895525:0.902546:0.895525:0.888301:0.747283:0.888301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
común.:@0.747283:0.919142:0.797340:0.919142:0.797340:0.904897:0.747283:0.904897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.763096:0.647648:0.885177:0.647648:0.885177:0.630748:0.763096:0.630748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 55340812.:@0.920815:0.315870:0.920815:0.244273:0.909426:0.244273:0.909426:0.315870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas  :@0.767314:0.170702:0.866807:0.170702:0.866807:0.155338:0.767314:0.155338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Química:@0.777567:0.185790:0.849619:0.185790:0.849619:0.170426:0.777567:0.170426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En los gases, la ecuación :@0.733044:0.335409:0.895056:0.335409:0.895056:0.321164:0.733044:0.321164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la velocidad del :@0.733044:0.350497:0.861753:0.350497:0.861753:0.336251:0.733044:0.336251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sonido es: :@0.733044:0.376812:0.802833:0.376812:0.802833:0.362567:0.733044:0.362567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.874478:0.376816:0.878146:0.376816:0.878146:0.362570:0.874478:0.362570:0.000000
donde   es el :@0.733037:0.403219:0.832752:0.403219:0.832752:0.388974:0.733037:0.388974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
γ:@0.783299:0.402954:0.790873:0.402954:0.790873:0.387381:0.783299:0.387381:0.000000
coeficiente de dilatación :@0.733042:0.429622:0.896747:0.429622:0.896747:0.415377:0.733042:0.415377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adiabática,  :@0.733042:0.444710:0.809718:0.444710:0.809718:0.430465:0.733042:0.430465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.733042:0.459797:0.741184:0.459797:0.741184:0.444924:0.733042:0.444924:0.000000
 la constante universal :@0.741016:0.459797:0.889039:0.459797:0.889039:0.445552:0.741016:0.445552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los gases,   la :@0.733042:0.474885:0.843105:0.474885:0.843105:0.460640:0.733042:0.460640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.817726:0.474885:0.825113:0.474885:0.825113:0.460011:0.817726:0.460011:0.000000
temperatura en kelvin, y :@0.733042:0.489973:0.893713:0.489973:0.893713:0.475727:0.733042:0.475727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.733042:0.505060:0.745673:0.505060:0.745673:0.490186:0.733042:0.490186:0.000000
 la masa molar del gas. :@0.745506:0.505060:0.895390:0.505060:0.895390:0.490815:0.745506:0.490815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde::@0.733042:0.527277:0.806485:0.527277:0.806485:0.512164:0.733042:0.512164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿qué :@0.806485:0.527277:0.846305:0.527277:0.846305:0.513032:0.806485:0.513032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedad de los radicales :@0.733042:0.542364:0.894703:0.542364:0.894703:0.528119:0.733042:0.528119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se puede aplicar en esta :@0.733042:0.557452:0.893595:0.557452:0.893595:0.543207:0.733042:0.543207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación? :@0.733042:0.572540:0.802715:0.572540:0.802715:0.558294:0.733042:0.558294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.745640:0.150534:0.898519:0.150534:0.898519:0.133633:0.745640:0.133633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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