化简2-根号3的算术平方根

2025-03-11 00:15:24
推荐回答(1个)
回答1:

sqrt(2-sqrt(3))
=sqrt(((sqrt(3)^2-2sqrt(3)+1)/2)
=sqrt((sqrt(3)-1)^2)*sqrt(2)/2
=(sqrt(3)-1)*sqrt(2)/2
=(sqrt(6)-sqrt(2))/2