(2-根号3)^2009×(2+根号3)^2008+根号3
=(2-根号3)^2008×(2-根号3)×(2+根号3)^2008+根号3
=[(2-根号3)(2+根号3)]^2008*(2-根号3)+根号3
=(4-1)^2008*(2-根号3)+根号3
=2-根号3+根号3
=2
(2-根号3)^2009×(2+根号3)^2008+根号3
=(2-根号3)^2008×(2-根号3)×(2+根号3)^2008+根号3
=[(2-根号3)(2+根号3)]^2008*(2-根号3)+根号3
=(4-1)^2008*(2-根号3)+根号3
=2-根号3+根号3
=2