化简(8+2根号5-根号10-根号6)/(根号5+根号3-根号2)

问题描述:

化简(8+2根号5-根号10-根号6)/(根号5+根号3-根号2)
分子上是根号15,

[8 + 2(15)^(1/2) - (10)^(1/2) - 6^(1/2)]/[5^(1/2) + 3^(1/2) - 2^(1/2)]= {3 + 2(15)^(1/2) + 5 - 2^(1/2)[5^(1/2) + 3^(1/2)]}/[5^(1/2) + 3^(1/2) - 2^(1/2)]= {[3^(1/2) + 5^(1/2)]^2 - 2^(1/2)[5^(1/2) + 3^(...