问题标题:
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=
问题描述:
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=
李航航回答:
√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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