1-2a+a²/a-1-根号a²-2a+1/a²-a,其中a=1/2+根号3

问题描述:

1-2a+a²/a-1-根号a²-2a+1/a²-a,其中a=1/2+根号3
化解 并求值

a=1/(2+√3)
=2-√3
原式=(a-1)²/(a-1)-√(a-1)²/a(a-1)
=(a-1)+1/a
=2-√3-1+2+√3
=3