2加根号2除以6减2倍根号3怎样化简

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2加根号2除以6减2倍根号3怎样化简
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2加根号2除以6减2倍根号3怎样化简
2加根号2除以6减2倍根号3怎样化简

2加根号2除以6减2倍根号3怎样化简
(2+√2)/(6-2√3)
=(1/2)(2+√2)/(3-√3)
=(1/2)(2+√2)(3+√3)/[(3+√3)(3-√3)]
=(1/2)(6+2√3+3√2+√6)/6
=(6+2√3+3√2+√6)/12

用分母有理化就行了!分子分母同乘以6-2倍根号3