`x = sqrt(2+sqrt5) + sqrt(2-sqrt5)` and` y =sqrt(2+sqrt5)-sqrt(2-sqrt5 )` then evaluate `x^2+y^2`

(2 + sqrt5)/(2 - sqrt5)

2sqrt5 - sqrt5 = sqrt5

(2sqrt3+sqrt5)(2sqrt3+sqrt5)

(2sqrt3 + sqrt5)(2sqrt3 - sqrt5)

If x= ( sqrt5- sqrt3)/ ( sqrt5+ sqrt3) and y= ( sqrt5+ sqrt3)/( sqrt5- sqrt3) find the value of x^(2) + y ^(2)

(sqrt(sqrt(5)+2)+sqrt(sqrt(5)-2))/(sqrt(sqrt(5)+1))-sqrt(3-2sqrt(2))

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

If x=3sqrt(5)+2sqrt(2) and y=3sqrt(5)-2sqrt(2) , then the value of (x^(2)-y^(2))^(2) is

If x=(sqrt5+sqrt2)/(sqrt5-sqrt2) and y=(sqrt5-sqrt2)/(sqrt5+sqrt2) then find the value of (3x-2y)(x+2y)