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

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

If a=(sqrt(5)+sqrt(2))/(sqrt(5)-sqrt(2)) and b=(sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)), find the value of (a^(2)+ab+b^(2))/(a^(2)-ab+b^(2))

(sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))^(2)

If x=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)),y=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) find the value of (x-y)^(2)

If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)), then the value of x^(2)+(1)/(x^(2))

If 2sqrt(x)=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))-(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)), then the value of x is :

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

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