If `x=1+sqrt(2)` and `y=1-sqrt(2)` , find the value of `(x^2+y^2)` .

If x=2+sqrt(2) and y=2-sqrt(2) , then find the value of (x^(2)+y^(2)) .

If x = 2 + sqrt(3) and y = 2 - sqrt(3) , find the value of x^(-2) + y^(-2) .

If x= (sqrt2+1)/(sqrt2-1) and x-y= 4sqrt2 then find the value of x^4+y^4 .

If x = 7 + 4 sqrt(3) , y = 7 - 4 sqrt(3) , find the value of (1)/(x^(2)) + (1)/(y^(2)) .

If x=(sqrt2+1)/(sqrt2-1)andx-y=4sqrt2 then the value of (x^(2)+y^(2)) is

If x=(sqrt5)+1 and y=(sqrt5)-1 , then what is the value of (x^2//y^2)+ (y^2//x^2) + 4[(x//y) + (y//x)] + 6 ?

If x=(sqrt(5)+1)/(sqrt(5)-1) and y=(sqrt(5)-1)/(sqrt(5)+1) find the value of x^(2)+y^(2)