If `x/sqrt(a) + sqrt(b) = x / sqrt(b) + sqrt(a)`, then find x

x sqrt(x)+y sqrt(y)=a sqrt(a) then find (dy)/(dx)

If sqrt(x)-sqrt(12)=sqrt(4)-sqrt(x) , then find x .

If y = sqrt( x + sqrt( x + sqrt ( x --- ))) then find dy/dx

If x=(sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)) then bx^(2)+b =

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

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

Find x : ( sqrt(x) + sqrt(a) ) / ( sqrt(x) - sqrt(a) ) + ( sqrt(x) - sqrt(a) ) / ( sqrt(x) + sqrt(a) ) = 6