计算(2根号2+根号3)²-(2根号2-根号3)²

问题描述:

计算(2根号2+根号3)²-(2根号2-根号3)²

(2√2+√3)^2-(2√2-√3)^2
=[(2√2+√3)+(2√2-√3)][(2√2+√3)-(2√2-√3)]
=4√2×2√3
=8√6