If `sqrt( 2 + sqrt(x) ) = 3 `, then find x

If (sqrt(2+sqrt3))^x + (sqrt(2-sqrt(3)))^x = 2^x , then x=

If cos (pi/12) = (sqrt(2) + sqrt(6))/(4) , then all x in (0,pi/2) such that (sqrt(3)-1)/(sin x) + (sqrt(3)+1)/(cos x) = 4sqrt(2) , then find x.

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

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

sqrt(5) x^2 - sqrt(3)x + sqrt(2) = 0 , find x

If x=(1)/(sqrt(3)+sqrt(2)) . Then find (1)/(x) .

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