2加根号2除以6减2倍根号3怎样化简

分类: 作业答案 • 2021-12-16 22:00:12

问题描述：

2加根号2除以6减2倍根号3怎样化简

答

(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