If `2x^4sqrt(2)=(sqrt(3)-1)+i(sqrt(3)+1)`, then `x=`

If sqrt2x = sqrt((sqrt3 + 1)/(sqrt3 -1)) , then x^(2) -x = ______

4 cos^(2)x + sqrt(3) = 2(sqrt(3)+1)

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)

if x=sqrt(3)+(1)/(sqrt(3)) and y=sqrt(3)-(1)/(sqrt(3)) then x^(2)-y^(2) is

If x=sqrt(1+sqrt(3)/(2))-sqrt(1-sqrt(3)/(2)) , then the value of (sqrt(2)-x)/(sqrt(2)+x) will be closet to :

If 3sqrt(3sqrt(x-(1)/(3sqrt(x))=2 , then 3sqrt(x)+((1)/(3sqrt(x))) =___________

If 3sqrt(3sqrt(x-(1)/(3sqrt(x))=2 , then 3sqrt(x)((1)/(3sqrt(x))) =___________

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