设 x= √6 +√5,
y= √6 -√5,
则 x^2 +y^2 =22,
x^2 y^2 =1.
所以 x^6 +y^6 = (x^2 +y^2) (x^4 -x^2 y^2 +y^4)
= (x^2 +y^2) [ (x^2 +y^2)^2 -3 x^2 y^2]
= 22 *(22^2 -3*1)
=10582.
又因为 0