Question

根号3减根号2乘根号2减1分之根号3减1 怎么做 好的加分

[根号(3)-根号(2)]*(根号(2)-1) /根号(3)-1

Answer 1

(√3-√2)*(√2-1)/(√3-1)
=(√3-√2)*(√3+1)*(√2-1)/[(√3-1)(√3+1)]
=(3+√3-√6-√2)*(√2-1)/2
=(3+√3-√6-√2)*(√2-1)/2
=(3√2-3+√6-√3-2√3+√6-2+√2)/2
=(4√2-5+2√6-3√3)/2