根号2减1分之根号2加1加上根号3加1分之根号3减1 怎么算_数学解答

根号2减1分之根号2加1加上根号3加1分之根号3减1 怎么算

人气：414 ℃　时间：2019-10-19 21:29:31

解答

（√2+1)/(√2-1)+(√3-1)/(√3+1)
=（√2+1)(√2+1)/(√2-1)（√2+1）+(√3-1)(√3-1)/(√3+1)(√3-1)
=(√2+1)^2+(√3-1)^2
=2+2√2+1+3-2√3+1
=2√2-3√3+6