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，
化简(8+2根号5-根号10-根号6)/(根号5+根号3-根号2)
答案:1 悬赏:10 手机版
解决时间 2021-07-29 18:28
- 提问者网友：杀手的诗
- 2021-07-29 02:07
最佳答案
- 五星知识达人网友：纵马山川剑自提
- 2021-07-29 03:05
[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^(1/2)]}/[5^(1/2) + 3^(1/2) - 2^(1/2)]
= [3^(1/2) + 5^(1/2)][3^(1/2) + 5^(1/2) - 2^(1/2)]/[5^(1/2) + 3^(1/2) - 2^(1/2)]
= 3^(1/2) + 5^(1/2)
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分子上是根号15吧.
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