20:@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
4:@0.054033:0.122645:0.076478:0.122645:0.076478:0.065614:0.054033:0.065614:0.000000
Definición de raíz n-ésima:@0.115209:0.171529:0.376826:0.171529:0.376826:0.150019:0.115209:0.150019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean:@0.115209:0.191684:0.150479:0.191684:0.150479:0.175295:0.115209:0.175295:0.000000:0.000000:0.000000:0.000000
∈:@0.165947:0.192362:0.179086:0.192362:0.179086:0.176789:0.165947:0.176789:0.000000
a:@0.153279:0.191684:0.162548:0.191684:0.162548:0.175323:0.153279:0.175323:0.000000
R:@0.181940:0.190827:0.195245:0.190827:0.195245:0.177965:0.181940:0.177965:0.000000
, :@0.195061:0.191684:0.202119:0.191684:0.202119:0.175295:0.195061:0.175295:0.000000:0.000000
:@0.231418:0.192753:0.243710:0.192753:0.243710:0.176005:0.231418:0.176005:0.000000
∈:@0.214870:0.192559:0.228009:0.192559:0.228009:0.176986:0.214870:0.176986:0.000000
+:@0.243773:0.184613:0.249637:0.184613:0.249637:0.175588:0.243773:0.175588:0.000000
n:@0.202572:0.191882:0.212081:0.191882:0.212081:0.175520:0.202572:0.175520:0.000000
, el número real   tal que   =   se denomina raíz n-ésima de   y se denota por :@0.249283:0.191684:0.826941:0.191684:0.826941:0.175295:0.249283:0.175295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.366317:0.191684:0.375586:0.191684:0.375586:0.175323:0.366317:0.175323:0.000000
b:@0.434647:0.191684:0.443916:0.191684:0.443916:0.175323:0.434647:0.175323:0.000000
n:@0.443740:0.185637:0.449284:0.185637:0.449284:0.176098:0.443740:0.176098:0.000000
a:@0.469076:0.191684:0.478345:0.191684:0.478345:0.175323:0.469076:0.175323:0.000000
a:@0.695773:0.191684:0.705042:0.191684:0.705042:0.175323:0.695773:0.175323:0.000000
=:@0.839597:0.192392:0.849714:0.192392:0.849714:0.176819:0.839597:0.176819:0.000000
b:@0.827288:0.191715:0.836557:0.191715:0.836557:0.175353:0.827288:0.175353:0.000000
a:@0.865193:0.191715:0.874463:0.191715:0.874463:0.175353:0.865193:0.175353:0.000000
n:@0.854361:0.184956:0.859872:0.184956:0.859872:0.175474:0.854361:0.175474:0.000000
; :@0.876691:0.191684:0.883933:0.191684:0.883933:0.175295:0.876691:0.175295:0.000000:0.000000
por ejemplo:  93 porque 3  = 9.:@0.115205:0.213052:0.367342:0.213058:0.367342:0.196670:0.115205:0.196663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.236767:0.213588:0.246884:0.213588:0.246884:0.198015:0.236767:0.198015:0.000000
2:@0.330846:0.207011:0.336088:0.207011:0.336088:0.197456:0.330846:0.197456:0.000000
Cuando   es un número par y   < 0 la raíz no está definida; por ejemplo:  –1 no es un número real.:@0.115215:0.237995:0.840023:0.237996:0.840023:0.221607:0.115215:0.221606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.177482:0.237995:0.186991:0.237995:0.186991:0.221633:0.177482:0.221633:0.000000
a:@0.337488:0.237995:0.346757:0.237995:0.346757:0.221633:0.337488:0.221633:0.000000
Las raíces de números reales cumplen con las propiedades de estos.:@0.115209:0.258160:0.613024:0.258160:0.613024:0.241771:0.115209:0.241771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Potencias con exponentes racionales:@0.115209:0.294477:0.486612:0.294477:0.486612:0.272968:0.115209:0.272968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las raíces de un número pueden representarse como potencias con exponentes racionales, así::@0.115209:0.313695:0.811748:0.313695:0.811748:0.297306:0.115209:0.297306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.436483:0.349439:0.446600:0.349439:0.446600:0.333866:0.436483:0.333866:0.000000
=:@0.525617:0.349439:0.535734:0.349439:0.535734:0.333866:0.525617:0.333866:0.000000
;:@0.475734:0.347876:0.478940:0.347876:0.478940:0.331487:0.475734:0.331487:0.000000
.:@0.574414:0.347876:0.577620:0.347876:0.577620:0.331487:0.574414:0.331487:0.000000
1:@0.428095:0.331055:0.433307:0.331055:0.433307:0.321556:0.428095:0.321556:0.000000
a:@0.416789:0.347871:0.426058:0.347871:0.426058:0.331510:0.416789:0.331510:0.000000
a:@0.550758:0.347871:0.560027:0.347871:0.560027:0.331510:0.550758:0.331510:0.000000
a:@0.503343:0.347871:0.512612:0.347871:0.512612:0.331510:0.503343:0.331510:0.000000
a:@0.463429:0.347871:0.472698:0.347871:0.472698:0.331510:0.463429:0.331510:0.000000
n:@0.427676:0.342213:0.433187:0.342213:0.433187:0.332731:0.427676:0.332731:0.000000
n:@0.453542:0.341115:0.459053:0.341115:0.459053:0.331633:0.453542:0.331633:0.000000
m:@0.513370:0.331056:0.521849:0.331056:0.521849:0.321574:0.513370:0.321574:0.000000
n:@0.515046:0.342213:0.520557:0.342213:0.520557:0.332731:0.515046:0.332731:0.000000
m:@0.563051:0.340209:0.571531:0.340209:0.571531:0.330727:0.563051:0.330727:0.000000
n:@0.542376:0.340410:0.547886:0.340410:0.547886:0.330928:0.542376:0.330928:0.000000
Las propiedades de la potenciación con exponentes enteros se cumplen para los exponentes racionales. :@0.115209:0.367180:0.883708:0.367180:0.883708:0.350791:0.115209:0.350791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de las raíces:@0.115209:0.403501:0.368547:0.403501:0.368547:0.381991:0.115209:0.381991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.141123:0.425556:0.144329:0.425556:0.144329:0.409167:0.141123:0.409167:0.000000
;:@0.185099:0.425556:0.188305:0.425556:0.188305:0.409167:0.185099:0.409167:0.000000
,:@0.215044:0.425556:0.218250:0.425556:0.218250:0.409167:0.215044:0.409167:0.000000
::@0.268023:0.425556:0.271230:0.425556:0.271230:0.409167:0.268023:0.409167:0.000000
;:@0.237076:0.458251:0.240282:0.458251:0.240282:0.441862:0.237076:0.441862:0.000000
;:@0.362404:0.458251:0.365610:0.458251:0.365610:0.441862:0.362404:0.441862:0.000000
;:@0.453123:0.458251:0.456330:0.458251:0.456330:0.441862:0.453123:0.441862:0.000000
;:@0.574735:0.458251:0.577941:0.458251:0.577941:0.441862:0.574735:0.441862:0.000000
:@0.170957:0.426427:0.110349:0.426427:0.110349:0.409679:0.170957:0.409679:0.000000
:@0.244871:0.426427:0.184262:0.426427:0.184262:0.409679:0.244871:0.409679:0.000000
(:@0.117408:0.464441:0.092088:0.464441:0.092088:0.431824:0.117408:0.431824:0.000000
):@0.148864:0.464441:0.123544:0.464441:0.123544:0.431824:0.148864:0.431824:0.000000
(:@0.475586:0.464441:0.450266:0.464441:0.450266:0.431824:0.475586:0.431824:0.000000
):@0.507042:0.464441:0.481722:0.464441:0.481722:0.431824:0.507042:0.431824:0.000000
∀:@0.118193:0.426151:0.091584:0.426151:0.091584:0.408130:0.118193:0.408130:0.000000
∈:@0.157930:0.426151:0.131321:0.426151:0.131321:0.408130:0.157930:0.408130:0.000000
∈:@0.231853:0.426151:0.205243:0.426151:0.205243:0.408130:0.231853:0.408130:0.000000
=:@0.165368:0.458846:0.127425:0.458846:0.127425:0.440825:0.165368:0.440825:0.000000
=:@0.213427:0.458846:0.175485:0.458846:0.175485:0.440825:0.213427:0.440825:0.000000
⋅:@0.282991:0.458846:0.287598:0.458846:0.287598:0.440825:0.282991:0.440825:0.000000
=:@0.315557:0.458841:0.228653:0.458841:0.228653:0.440820:0.315557:0.440820:0.000000
=:@0.412568:0.458841:0.325663:0.458841:0.325663:0.440820:0.412568:0.440820:0.000000
=:@0.526487:0.458841:0.439583:0.458841:0.439583:0.440820:0.526487:0.440820:0.000000
=:@0.638575:0.458841:0.551671:0.458841:0.551671:0.440820:0.638575:0.440820:0.000000
+:@0.257656:0.418239:0.263519:0.418239:0.263519:0.407795:0.257656:0.407795:0.000000
⋅:@0.657780:0.451751:0.660450:0.451751:0.660450:0.441306:0.657780:0.441306:0.000000
ab:@0.131229:0.425556:0.154964:0.425556:0.154964:0.409195:0.131229:0.409195:0.000000:0.000000
mn:@0.200139:0.425556:0.229476:0.425556:0.229476:0.409195:0.200139:0.409195:0.000000:0.000000
a:@0.137144:0.458251:0.146413:0.458251:0.146413:0.441890:0.137144:0.441890:0.000000
a:@0.191642:0.458251:0.200911:0.458251:0.200911:0.441890:0.191642:0.441890:0.000000
a:@0.227189:0.458251:0.236458:0.458251:0.236458:0.441890:0.227189:0.441890:0.000000
a:@0.270221:0.458251:0.279490:0.458251:0.279490:0.441890:0.270221:0.441890:0.000000
b:@0.301476:0.458251:0.310746:0.458251:0.310746:0.441890:0.301476:0.441890:0.000000
ab:@0.341839:0.458251:0.360321:0.458251:0.360321:0.441890:0.341839:0.441890:0.000000:0.000000
a:@0.397011:0.449289:0.406280:0.449289:0.406280:0.432928:0.397011:0.432928:0.000000
b:@0.396845:0.469440:0.406114:0.469440:0.406114:0.453078:0.396845:0.453078:0.000000
a:@0.440297:0.449289:0.449566:0.449289:0.449566:0.432928:0.440297:0.432928:0.000000
b:@0.440095:0.468734:0.449364:0.468734:0.449364:0.452373:0.440095:0.452373:0.000000
a:@0.495332:0.458246:0.504601:0.458246:0.504601:0.441885:0.495332:0.441885:0.000000
a:@0.552762:0.458246:0.562031:0.458246:0.562031:0.441885:0.552762:0.441885:0.000000
a:@0.623017:0.458246:0.632287:0.458246:0.632287:0.441885:0.623017:0.441885:0.000000
a:@0.672698:0.458246:0.681967:0.458246:0.681967:0.441885:0.672698:0.441885:0.000000
n:@0.126255:0.451410:0.131766:0.451410:0.131766:0.441928:0.126255:0.441928:0.000000
n:@0.155101:0.445671:0.160612:0.445671:0.160612:0.436189:0.155101:0.436189:0.000000
n:@0.201696:0.450584:0.207207:0.450584:0.207207:0.441102:0.201696:0.441102:0.000000
n:@0.180754:0.450704:0.186264:0.450704:0.186264:0.441222:0.180754:0.441222:0.000000
n:@0.259334:0.451410:0.264845:0.451410:0.264845:0.441928:0.259334:0.441928:0.000000
n:@0.290957:0.451410:0.296468:0.451410:0.296468:0.441928:0.290957:0.441928:0.000000
n:@0.330953:0.451410:0.336464:0.451410:0.336464:0.441928:0.330953:0.441928:0.000000
n:@0.386134:0.442449:0.391645:0.442449:0.391645:0.432967:0.386134:0.432967:0.000000
n:@0.386348:0.462607:0.391858:0.462607:0.391858:0.453125:0.386348:0.453125:0.000000
n:@0.427913:0.454239:0.433423:0.454239:0.433423:0.444757:0.427913:0.444757:0.000000
n:@0.484451:0.451410:0.489962:0.451410:0.489962:0.441928:0.484451:0.441928:0.000000
m:@0.513083:0.445671:0.521563:0.445671:0.521563:0.436189:0.513083:0.436189:0.000000
m:@0.562605:0.450584:0.571084:0.450584:0.571084:0.441102:0.562605:0.441102:0.000000
n:@0.541875:0.450704:0.547386:0.450704:0.547386:0.441222:0.541875:0.441222:0.000000
m:@0.610460:0.451410:0.618940:0.451410:0.618940:0.441928:0.610460:0.441928:0.000000
n:@0.599620:0.450897:0.605131:0.450897:0.605131:0.441415:0.599620:0.441415:0.000000
nm:@0.652495:0.451410:0.668675:0.451410:0.668675:0.441928:0.652495:0.441928:0.000000:0.000000
Actividad resuelta:@0.115209:0.499712:0.272331:0.499712:0.272331:0.481275:0.115209:0.481275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.115209:0.519557:0.130227:0.519557:0.130227:0.502421:0.115209:0.502421:0.000000:0.000000
 :@0.130227:0.519557:0.134134:0.519557:0.134134:0.502933:0.130227:0.502933:0.000000
Resolvamos:@0.148452:0.519557:0.239890:0.519557:0.239890:0.502933:0.148452:0.502933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 aplicando las propiedades de las raíces y de las potencias con exponentes racionales.:@0.239890:0.519557:0.865615:0.519557:0.865615:0.503168:0.239890:0.503168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.148452:0.549569:0.167175:0.549569:0.167175:0.532668:0.148452:0.532668:0.000000:0.000000:0.000000
(:@0.184309:0.560010:0.190445:0.560010:0.190445:0.528086:0.184309:0.528086:0.000000
):@0.255569:0.560010:0.261705:0.560010:0.261705:0.528086:0.255569:0.528086:0.000000
(:@0.303923:0.560010:0.310059:0.560010:0.310059:0.528086:0.303923:0.528086:0.000000
):@0.361196:0.560010:0.367332:0.560010:0.367332:0.528086:0.361196:0.528086:0.000000
⋅:@0.224461:0.551503:0.229068:0.551503:0.229068:0.535930:0.224461:0.535930:0.000000
=:@0.291206:0.551503:0.301323:0.551503:0.301323:0.535930:0.291206:0.535930:0.000000
⋅:@0.342619:0.551503:0.347226:0.551503:0.347226:0.535930:0.342619:0.535930:0.000000
=:@0.396852:0.551503:0.406968:0.551503:0.406968:0.535930:0.396852:0.535930:0.000000
=:@0.463394:0.551503:0.473511:0.551503:0.473511:0.535930:0.463394:0.535930:0.000000
–1:@0.271691:0.550825:0.291372:0.550825:0.291372:0.534436:0.271691:0.534436:0.000000:0.000000
–1:@0.377337:0.550825:0.397018:0.550825:0.397018:0.534436:0.377337:0.534436:0.000000:0.000000
–1:@0.443879:0.550825:0.463560:0.550825:0.463560:0.534436:0.443879:0.534436:0.000000:0.000000
–1:@0.489045:0.550825:0.508726:0.550825:0.508726:0.534436:0.489045:0.534436:0.000000:0.000000
2:@0.213835:0.543164:0.219047:0.543164:0.219047:0.533666:0.213835:0.533666:0.000000
3:@0.192892:0.543364:0.198104:0.543364:0.198104:0.533866:0.192892:0.533866:0.000000
3:@0.233101:0.544069:0.238313:0.544069:0.238313:0.534571:0.233101:0.534571:0.000000
3:@0.261947:0.536647:0.267159:0.536647:0.267159:0.527149:0.261947:0.527149:0.000000
2:@0.333458:0.543172:0.338670:0.543172:0.338670:0.533674:0.333458:0.533674:0.000000
3:@0.312515:0.543372:0.317727:0.543372:0.317727:0.533874:0.312515:0.533874:0.000000
3:@0.367590:0.536655:0.372802:0.536655:0.372802:0.527157:0.367590:0.527157:0.000000
3:@0.432661:0.543180:0.437873:0.543180:0.437873:0.533682:0.432661:0.533682:0.000000
3:@0.411718:0.543380:0.416930:0.543380:0.416930:0.533882:0.411718:0.533882:0.000000
x:@0.204725:0.550825:0.212188:0.550825:0.212188:0.534464:0.204725:0.534464:0.000000
x:@0.244934:0.550825:0.252397:0.550825:0.252397:0.534464:0.244934:0.534464:0.000000
x:@0.324339:0.550825:0.331802:0.550825:0.331802:0.534464:0.324339:0.534464:0.000000
x:@0.350561:0.550825:0.358025:0.550825:0.358025:0.534464:0.350561:0.534464:0.000000
x:@0.423553:0.550825:0.431017:0.550825:0.431017:0.534464:0.423553:0.534464:0.000000
x:@0.477583:0.550825:0.485046:0.550825:0.485046:0.534464:0.477583:0.534464:0.000000
b) :@0.148451:0.587287:0.168481:0.587287:0.168481:0.570386:0.148451:0.570386:0.000000:0.000000:0.000000
(:@0.533910:0.595613:0.540046:0.595613:0.540046:0.568205:0.533910:0.568205:0.000000
) (:@0.617092:0.595613:0.643444:0.595613:0.643444:0.568205:0.617092:0.568205:0.000000:0.000000:0.000000
):@0.722111:0.595613:0.728248:0.595613:0.728248:0.568205:0.722111:0.568205:0.000000
=:@0.346388:0.589445:0.356505:0.589445:0.356505:0.573872:0.346388:0.573872:0.000000
=:@0.521193:0.589445:0.531310:0.589445:0.531310:0.573872:0.521193:0.573872:0.000000
+:@0.625053:0.589445:0.635170:0.589445:0.635170:0.573872:0.625053:0.573872:0.000000
=:@0.730957:0.589445:0.741073:0.589445:0.741073:0.573872:0.730957:0.573872:0.000000
25 –3 2–35 –2 25 –3 5–32 –2:@0.184309:0.588768:0.517167:0.588768:0.517167:0.572379:0.184309:0.572379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
25 –3 5:@0.540368:0.588768:0.615903:0.588768:0.615903:0.572379:0.540368:0.572379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–32 –2:@0.644134:0.588768:0.720498:0.588768:0.720498:0.572379:0.644134:0.572379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–5 –4 2:@0.744067:0.588768:0.822219:0.588768:0.822219:0.572379:0.744067:0.572379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.148451:0.625006:0.166086:0.625006:0.166086:0.608105:0.148451:0.608105:0.000000:0.000000:0.000000
(:@0.824983:0.634679:0.831119:0.634679:0.831119:0.607270:0.824983:0.607270:0.000000
):@0.901255:0.634679:0.907391:0.634679:0.907391:0.607270:0.901255:0.607270:0.000000
+:@0.217238:0.628511:0.227354:0.628511:0.227354:0.612938:0.217238:0.612938:0.000000
=:@0.301784:0.628511:0.311900:0.628511:0.311900:0.612938:0.301784:0.612938:0.000000
⋅+:@0.338068:0.628511:0.366409:0.628511:0.366409:0.612938:0.338068:0.612938:0.000000:0.000000
⋅:@0.399745:0.628511:0.404352:0.628511:0.404352:0.612938:0.399745:0.612938:0.000000
=:@0.455710:0.628511:0.465826:0.628511:0.465826:0.612938:0.455710:0.612938:0.000000
⋅:@0.493449:0.628511:0.498056:0.628511:0.498056:0.612938:0.493449:0.612938:0.000000
+:@0.524187:0.628511:0.534303:0.628511:0.534303:0.612938:0.524187:0.612938:0.000000
⋅:@0.569095:0.628511:0.573702:0.628511:0.573702:0.612938:0.569095:0.612938:0.000000
=:@0.637572:0.628511:0.647689:0.628511:0.647689:0.612938:0.637572:0.612938:0.000000
+:@0.682904:0.628511:0.693021:0.628511:0.693021:0.612938:0.682904:0.612938:0.000000
=:@0.767395:0.628511:0.777511:0.628511:0.777511:0.612938:0.767395:0.612938:0.000000
+:@0.812727:0.628511:0.822843:0.628511:0.822843:0.612938:0.812727:0.612938:0.000000
=:@0.910098:0.628511:0.920215:0.628511:0.920215:0.612938:0.910098:0.612938:0.000000
+:@0.955430:0.628511:0.965547:0.628511:0.965547:0.612938:0.955430:0.612938:0.000000
45:@0.196716:0.627833:0.214499:0.627833:0.214499:0.611444:0.196716:0.611444:0.000000:0.000000
48 –3:@0.242730:0.627833:0.298160:0.627833:0.298160:0.611444:0.242730:0.611444:0.000000:0.000000:0.000000:0.000000:0.000000
95:@0.327018:0.627833:0.353553:0.627833:0.353553:0.611444:0.327018:0.611444:0.000000:0.000000
16 3– 3:@0.379887:0.627833:0.452068:0.627833:0.452068:0.611444:0.379887:0.611444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.480925:0.627833:0.489918:0.627833:0.489918:0.611444:0.480925:0.611444:0.000000
5:@0.512437:0.627833:0.521429:0.627833:0.521429:0.611444:0.512437:0.611444:0.000000
16:@0.547781:0.627833:0.565563:0.627833:0.565563:0.611444:0.547781:0.611444:0.000000:0.000000
3 –3 35 43 –3 35:@0.588082:0.627833:0.810008:0.627833:0.810008:0.611444:0.588082:0.611444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
43 –3:@0.832158:0.627833:0.900045:0.627833:0.900045:0.611444:0.832158:0.611444:0.000000:0.000000:0.000000:0.000000:0.000000
35 33 3:@0.922822:0.627833:1.022921:0.627833:1.022921:0.611444:0.922822:0.611444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148451:0.662725:0.152265:0.662725:0.152265:0.645824:0.148451:0.645824:0.000000
(:@0.240515:0.665200:0.246651:0.665200:0.246651:0.637791:0.240515:0.637791:0.000000
):@0.316787:0.665200:0.322923:0.665200:0.322923:0.637791:0.316787:0.637791:0.000000
(:@0.439183:0.665200:0.445320:0.665200:0.445320:0.637791:0.439183:0.637791:0.000000
):@0.504841:0.665200:0.510977:0.665200:0.510977:0.637791:0.504841:0.637791:0.000000
=:@0.053104:0.659032:0.063221:0.659032:0.063221:0.643459:0.053104:0.643459:0.000000
+:@0.098436:0.659032:0.108553:0.659032:0.108553:0.643459:0.098436:0.643459:0.000000
=:@0.182927:0.659032:0.193044:0.659032:0.193044:0.643459:0.182927:0.643459:0.000000
+:@0.228266:0.659032:0.238382:0.659032:0.238382:0.643459:0.228266:0.643459:0.000000
=:@0.325637:0.659032:0.335754:0.659032:0.335754:0.643459:0.325637:0.643459:0.000000
+:@0.370969:0.659032:0.381086:0.659032:0.381086:0.643459:0.370969:0.643459:0.000000
=:@0.416725:0.659032:0.426842:0.659032:0.426842:0.643459:0.416725:0.643459:0.000000
+:@0.469852:0.659032:0.479969:0.659032:0.479969:0.643459:0.469852:0.643459:0.000000
3 –3 35 43 –3 35:@0.003614:0.658354:0.225540:0.658354:0.225540:0.641965:0.003614:0.641965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
43 –3:@0.247690:0.658354:0.315577:0.658354:0.315577:0.641965:0.247690:0.641965:0.000000:0.000000:0.000000:0.000000:0.000000
35 33 3:@0.338354:0.658354:0.438453:0.658354:0.438453:0.641965:0.338354:0.641965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.458152:0.658354:0.467145:0.658354:0.467145:0.641965:0.458152:0.641965:0.000000
5:@0.494639:0.658354:0.503632:0.658354:0.503632:0.641965:0.494639:0.641965:0.000000
Números reales con exponentes racionales:@0.115891:0.141978:0.749433:0.141978:0.749433:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.35. Calcular raíces cuadradas de números reales no negativos y raíces cúbicas de números reales, aplicando las propiedades en  . :@0.125388:0.071848:0.756588:0.071848:0.756588:0.061419:0.125388:0.061419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.743633:0.071303:0.752100:0.071303:0.752100:0.063118:0.743633:0.063118:0.000000
M.4.1.37. Identificar las raíces como potencias con exponentes racionales para calcular potencias de números reales no negativos con exponentes racionales en  .:@0.125388:0.082410:0.875144:0.082410:0.875144:0.071980:0.125388:0.071980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.864755:0.081864:0.873221:0.081864:0.873221:0.073679:0.864755:0.073679:0.000000
2. :@0.115354:0.700317:0.134095:0.700317:0.134095:0.683181:0.115354:0.683181:0.000000:0.000000:0.000000
Analicemos resolvamos:@0.148597:0.700317:0.341222:0.700317:0.341222:0.683693:0.148597:0.683693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.237750:0.700317:0.253930:0.700317:0.253930:0.683928:0.237750:0.683928:0.000000:0.000000:0.000000
, para ello empleamos una calculadora.:@0.341222:0.700317:0.626316:0.700317:0.626316:0.683928:0.341222:0.683928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115354:0.724036:0.119076:0.724036:0.119076:0.706900:0.115354:0.706900:0.000000
Los griegos consideraban que las dimensiones perfectas se encontraban en un rectángulo que  cumple :@0.148597:0.724036:0.883934:0.724036:0.883934:0.707647:0.148597:0.707647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.172111:0.724036:0.175833:0.724036:0.175833:0.706900:0.172111:0.706900:0.000000
con el número de oro, es decir, están relacionadas mediante la expresión::@0.148597:0.740632:0.683102:0.740632:0.683102:0.724243:0.148597:0.724243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115354:0.772912:0.119076:0.772912:0.119076:0.755776:0.115354:0.755776:0.000000
=:@0.166813:0.772332:0.176930:0.772332:0.176930:0.756759:0.166813:0.756759:0.000000
+:@0.187802:0.763841:0.197919:0.763841:0.197919:0.748268:0.187802:0.748268:0.000000
1:@0.179848:0.763168:0.188841:0.763168:0.188841:0.746779:0.179848:0.746779:0.000000
5:@0.212575:0.763168:0.221568:0.763168:0.221568:0.746779:0.212575:0.746779:0.000000
2:@0.197280:0.782544:0.206273:0.782544:0.206273:0.766155:0.197280:0.766155:0.000000
a:@0.153046:0.763168:0.162315:0.763168:0.162315:0.746807:0.153046:0.746807:0.000000
b:@0.152835:0.782538:0.162104:0.782538:0.162104:0.766177:0.152835:0.766177:0.000000
 :@0.115354:0.816709:0.119076:0.816709:0.119076:0.799573:0.115354:0.799573:0.000000
=:@0.166813:0.817303:0.176930:0.817303:0.176930:0.799283:0.166813:0.799283:0.000000
+:@0.187802:0.808812:0.197919:0.808812:0.197919:0.790791:0.187802:0.790791:0.000000
=:@0.226647:0.817303:0.236764:0.817303:0.236764:0.799283:0.226647:0.799283:0.000000
⇒ =:@0.270155:0.817303:0.314087:0.817303:0.314087:0.799283:0.270155:0.799283:0.000000:0.000000:0.000000
1:@0.179841:0.808217:0.188834:0.808217:0.188834:0.791828:0.179841:0.791828:0.000000
5:@0.212569:0.808217:0.221561:0.808217:0.221561:0.791828:0.212569:0.791828:0.000000
2:@0.197282:0.827593:0.206275:0.827593:0.206275:0.811204:0.197282:0.811204:0.000000
1,62:@0.238220:0.816711:0.267570:0.816711:0.267570:0.800322:0.238220:0.800322:0.000000:0.000000:0.000000:0.000000
1,62:@0.315537:0.816711:0.344886:0.816711:0.344886:0.800322:0.315537:0.800322:0.000000:0.000000:0.000000:0.000000
a:@0.153047:0.808219:0.162316:0.808219:0.162316:0.792826:0.153047:0.792826:0.000000
b:@0.152835:0.827596:0.162104:0.827596:0.162104:0.812203:0.152835:0.812203:0.000000
a:@0.291668:0.816711:0.300938:0.816711:0.300938:0.801318:0.291668:0.801318:0.000000
b:@0.344703:0.816711:0.353972:0.816711:0.353972:0.801318:0.344703:0.801318:0.000000
 :@0.366007:0.816709:0.369730:0.816709:0.369730:0.799573:0.366007:0.799573:0.000000
El área es::@0.369361:0.816709:0.436106:0.816709:0.436106:0.800320:0.369361:0.800320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115354:0.864064:0.119077:0.864064:0.119077:0.846928:0.115354:0.846928:0.000000
=:@0.164980:0.865283:0.175097:0.865283:0.175097:0.847262:0.164980:0.847262:0.000000
⇒:@0.202886:0.865283:0.221074:0.865283:0.221074:0.847262:0.202886:0.847262:0.000000
=:@0.245140:0.865283:0.255257:0.865283:0.255257:0.847262:0.245140:0.847262:0.000000
⇒:@0.310687:0.865283:0.328876:0.865283:0.328876:0.847262:0.310687:0.847262:0.000000
=:@0.352920:0.865283:0.301876:0.865283:0.301876:0.847262:0.352920:0.847262:0.000000
=:@0.431031:0.865283:0.379987:0.865283:0.379987:0.847262:0.431031:0.847262:0.000000
=:@0.492182:0.865283:0.441137:0.865283:0.441137:0.847262:0.492182:0.847262:0.000000
.:@0.187177:0.864689:0.190383:0.864689:0.190383:0.848300:0.187177:0.848300:0.000000
24 1,62 .:@0.224032:0.864689:0.298165:0.864689:0.298165:0.848300:0.224032:0.848300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24 1,62 ;:@0.331814:0.864689:0.414323:0.864689:0.414323:0.848300:0.331814:0.848300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24:@0.462910:0.856197:0.480692:0.856197:0.480692:0.839808:0.462910:0.839808:0.000000:0.000000
1,64:@0.456571:0.875573:0.485920:0.875573:0.485920:0.859184:0.456571:0.859184:0.000000:0.000000:0.000000:0.000000
3,85:@0.504888:0.864689:0.536187:0.864689:0.536187:0.848300:0.504888:0.848300:0.000000:0.000000:0.000000:0.000000
2:@0.403492:0.857028:0.408704:0.857028:0.408704:0.847529:0.403492:0.847529:0.000000
A ab:@0.152679:0.864689:0.199850:0.864689:0.199850:0.849296:0.152679:0.849296:0.000000:0.000000:0.000000:0.000000
bb:@0.285861:0.864689:0.307642:0.864689:0.307642:0.849296:0.285861:0.849296:0.000000:0.000000
b b:@0.393655:0.864689:0.428001:0.864689:0.428001:0.849296:0.393655:0.849296:0.000000:0.000000:0.000000
Por lo tanto, las dimensiones del rectángulo áureo son  :@0.148597:0.897602:0.553615:0.897602:0.553615:0.881213:0.148597:0.881213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.148597:0.914199:0.157867:0.914199:0.157867:0.897837:0.148597:0.897837:0.000000
 = 1,62(3,85) = 6,24 cm y   = 3,85 cm.:@0.157867:0.914199:0.428882:0.914199:0.428882:0.897810:0.157867:0.897810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.339821:0.914199:0.349090:0.914199:0.349090:0.897837:0.339821:0.897837:0.000000
Calculemos:@0.237253:0.765094:0.325816:0.765094:0.325816:0.748470:0.237253:0.748470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las dimensiones del rectángulo áureo de 24 cm2 :@0.325816:0.765094:0.698974:0.765094:0.698974:0.748705:0.325816:0.748705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de área con aproximación a las centésimas.:@0.237253:0.781690:0.552749:0.781690:0.552749:0.765302:0.237253:0.765302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, (2021). 503282149:@0.897494:0.915741:0.897494:0.804144:0.883598:0.804144:0.883598:0.915741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000