Square Root of a Square Root

Question

I am having difficulty finding the composite of this function because I am not sure how to take the square root of a square root.

Find (g of g) where g(x) = √x

I think the problem would look like √√x, but I'm not sure how to simplify it.

Answer 1

g(x) = x^(1/2)

g of g = (x^(1/2))^(1/2)

Using the rule of exponents, you multiply (1/2)*(1/2)

g of g = x^(1/4)