if `x+ysqrt2=(2+sqrt2)/(2-sqrt2)`, then find the value of `x^2+y^2 ?`

If x=(sqrt3+sqrt2)/(sqrt3-sqrt2)andy=(sqrt3-sqrt2)/(sqrt3+sqrt2) then find the value of x^(2)+y^(2) ?

If (sqrt(x))/(2)=2sqrt(2) , what is the value of x?

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

If x = sqrt(3)- sqrt(2) find the value of x+(1)/(x)

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

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

If a=5sqrt2 and 2a=sqrt(2x) , what is the value of x ?

If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f'(102^(+)) , is

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

If sqrt(x+y)+sqrt(y-x)=2 , then the value of (d^(2)y)/(dx^(2)) is equal to