题目

化简：①3根号2-2根号3分之根号6=
②根号3-根号2分之3根号2-2根号3=
③根号m-根号n分之m+n-2根号mn=

提问时间：2020-06-25

答案

√6 /(3√2-2√3)
= √6(3√2+2√3) / [(3√2-2√3)(3√2+2√3)]
= (3√12+2√18) / [(3√2)²-(2√3)²]
= (6√3+6√2) / (18-12)
= √3+√2
(3√2-2√3) / (√3-√2)
= (3√2-2√3)(√3+√2) / [(√3-√2)(√3+√2)]
= (3√6+6-6-2√6) /(3-2)
= √6
(m+n-2√mn) /(√m -√n)
= (√m-√n)² /(√m-√n)
= √m -√n
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