Question

计算：(根号2-根号3)2-(根号2+根号3)2

Answer 1

原式=(2-根号3)^2012*(2+根号3)^2012*(2+根号3)-2*根号3/2-1

=[(2-根号3)(2+根号3)]^2012*(2+根号3)-根号3-1

=(4-3)^2012*(2+根号3)-根号3-1

=2+根号3-根号3-1

=1