The least number of positive integers ' $n$ ' satisfying $\sqrt{n \sqrt{n \sqrt{n \ldots . .}}}=n$ i

Question

The least number of positive integers ' $n$ ' satisfying $\sqrt{n \sqrt{n \sqrt{n \ldots . .}}}=n$ is

Professor PC Thomas Classes · Answer

Limit $x = \sqrt{nx} \Rightarrow x^2 = nx \Rightarrow x=n$.