(根号5-2)分之一与(根号6-根号5)分之一比较大小

2025-04-07 22:58:45
推荐回答(1个)
回答1:

1/(√5-2)=(√5+2)/[(√5-2)(√5+2)]
=(√5+2)/(5-4)
=√5+2
1/(√6-√5)=(√6+√5)/[(√6-√5)(√6+√5)]
=(√5+√6)/(6-5)
=√5+√6
因为2=√4<√6,所以√5+2<√5+√6
所以1/(√5-2)<1/(√6-√5)

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