TITLE: References for the result that $\sqrt{n}$ is equidistributed mod 1
QUESTION [6 upvotes]: It is not difficult to show (even without Weyl criterion) that the sequence $\sqrt{n}$, $n=1,2,\ldots$ is equidistributed mod 1. However, I need a reference to this result. Can you help me? Thanks.

REPLY [4 votes]: My favorite reference on this is G. Polya and G. Szego, Problems and Theorems in Analysis,
vol. 1, second part,  Chap IV, section 4, see for example problem 174.