帮忙解一道数学题..写出原因

(√6+√5)^2005×(√5-√6)^2006
=(√6+√5)^2005×(√5-√6)^2005×(√5-√6)
=[(√6+√5)(√5-√6)]^2005×(√5-√6)
=(-1)^2005×(√5-√6)
=-(√5-√6)
=√6-√5

= [ (根号6+根号5)(根号6-根号5)]^2005*(根号5-根号6)
=1^2005*(根号5-根号6)
=根号5-根号6

先把它写成(根号6加根号5×根号5减根号6)的2005次方再乘以根号5减根号6,

(根号6加根号5×根号5减根号6)是-1,所以它的2005次方还是-1,再乘上根号5

减根号6,答案就是负根号减根号6,也就是根号6减根号5