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   --------------------   梳理知识,帮助别人,愉悦自己.   “数理无限”团队欢迎你
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