Question

设a=2+根号3分之1,求a^2-a分之根号(a^2-2a+1)的值

Answer 1

a=2+根号3分之1
a=(2-√3)/(2+√3)(2-√3)
a=(2-√3)
a^2-a分之根号宏谨(a^2-2a+1)的值
=√蔽册基(a-1)^2/a(a-1)
=-(a-1)/a(a-1)
=-1/a
=-1/(2-√3)
=-(2+√3)/(2-√3)(2+√姿做3)
=-2-√3