Question

一道初中化简题 (13 9:46:10)

Answer 1

(√2+√3+√5)²+(√2+√3-√5)²+(√2-√3+√5)²+(-√2+√3+√5）²

=（根号2+根号3）^2+2（根号2+根号3）根号5+（根号5）^2+（根号2+根号3）^2-2（根号2+根号3）根号5+（-根号5）^2+（根号2-根号3）^2+2（根号2-根号3）根号5+（根号5）^2+（-根号2+根号3）^2+2（-根号2+根号3）根号5+（根号5）^2

=2[2+3+2（根号2*根号3）+5]+2[2+3-2（根号2根号3）+5]

=20+20

=40