If `(sqrt(2))^(x)+(sqrt(3))^(x)=(sqrt(13))^(x//2)`, then the number of real values of x is

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

sqrt(x+14-8sqrt(x-2))+ sqrt(x+23-10sqrt(x-2))=3 Find number of real root

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

If sqrt(x+sqrt(x^(2)+x))dx=A{x+sqrt(x^(2)+2)}^(3//2)+(B)/(sqrt(x+sqrt(x^(2)+2)))+c. then the value of 3AB is

If sqrt(x+sqrt(x^(2)+x))dx=A{x+sqrt(x^(2)+2)}^(3//2)+(B)/(sqrt(x+sqrt(x^(2)+2)))+c. then the value of 3AB is

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