If `x=sqrt(2+sqrt(2+sqrt(2+...)))` then what will be the value of x?

If x=sqrt((2+sqrt(3))/(2-sqrt(3))) ,then what is the value of (x^(2)+x-9) ?

If x = (4 sqrt(ab))/(sqrt a + sqrt b) , then what is the value of (x + 2sqrt a)/(x - 2 sqrta) + (x + 2 sqrtb)/(x - 2 sqrt b) " (when " a ne b) ?

If x=sqrt(2+sqrt(4+sqrt(4+sqrt(4+...oo)))) then the value of x^(2) is

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

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

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