Question

evaluate this question

Answer 1

(root2+root3)^2+(root5-root2)^2

using

(a+b)^2=a^2+2ab+b^2

and

(a-b)^2=a^2-2ab+b^2

(root2)^2+2 (root2)(root3)+(root3)^2+(root5)^2-2 (root5)(root2)+(root2)^2

=2+2root6+3+5-2root10+4

=14+2root6+2root10