抚仙湖天气:初中数学题`向`高手请教

来源:百度文库 编辑:杭州交通信息网 时间:2024/05/05 04:15:15
2倍根号3 除以 (根号6分之1+根号2分之1)
怎么做的`?

解:
2倍根号3 除以 (根号6分之1+根号2分之1)
=2√3/(1/√6+1/√2)
=2√3*√6*√2/(√6+√2)
=2√36/(√6+√2)
=12/(√6+√2)
=12*(√6-√2)/[(√6+√2)*(√6-√2)]
=12*(√6-√2)/4
=3*(√6-√2)

2倍根号3 除以 (根号6分之1+根号2分之1)
=2√3/[(√(1/6)+√(1/2)]
=2√3/[(√6/6)+(√2/2)]
=12√3/(√6+3√2)
=12√3*(3√2-√6)/(3√2+√6)*(3√2-√6)
=√3*(3√2-√6)
=3√6-√18
=3√6-3√2
=2*(√6-√2)