10,11

Does there exist a natural number $n$, greater than 1, such that the value of the expression $\sqrt{n \sqrt{n \sqrt{n}}}$ is a natural number?
For example, $n=2^{8}=256$. Indeed, $\sqrt{n \sqrt{n \sqrt{n}}}=n^{7 / 8}$. For $n=2^{8}$, the value of this expression is $2^{7}=$ 128.

## Answer

It exists.