Question

if x = √2-1/ √2+1 and y=√2+1/√2-1 then find the value of x^2+y^2

Answer 1

X=4+1-2root2 (rationalize) =5-2root2
Y=4+1+2root2=5+2root2
X^2+y^2=50+16=66

Answer 2

multiply and divide x with
$\sqrt{2} - 1$
and do the same with y but using
$\sqrt{2} + 1$
so you get x=3-2√2 and y=3+2√2