Let $f(x) = \sqrt{x}$ and $g(x) = x^2.$ Find $f(g(f(g(f(8))))).$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $f(x) = \sqrt{x}$ and $g(x) = x^2.$ Find $f(g(f(g(f(8))))).$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2\sqrt{2}
Let $f(x) = \sqrt{x}$ and $g(x) = x^2.$ Find $f(g(f(g(f(8))))).$
train