If `[root(9)((2/3)^5)]^(sqrt(x-5))` = `a^0`, find the value of `x`.

sqrt(5 root(3)(x))=3 , then the value of x is

If the harmonic mean between roots of (5+sqrt(2))x^(2)-bx+8+2sqrt(5)=0 is 4, then find the value of b .

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

If x=(1)/(sqrt(5)-2) , find the value of x^(3)-3x^(2)-5x+3 .

If sqrt(5+root(3)(x))=3 , then the value of x is

If x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sqrt(2))), then the value of x^(3)+3x-14 is equal to 1 b.0 c.2 d.4

If x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sqrt(2))), then the value of x^(3)+3x-14 is equal to 1(b)0(c)2 (d) 4

If x=((sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))) and y=((sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))), find the value of (x^(2)+y^(2))