Is this series convergent or divergent?

Does this series converge or diverge?

( nthRoot(2) - 1 )

I wanted to break it up into 2 series, but I don't think I can because I believe you must know that both parts are convergent to split it. Note that I am only allowed to use the integral test, test for divergence, comparison test, ratio test, alternating series test, and root test to find the answer, since we haven't learned anything else in class yet. If someone could just give me a hint as to what test to use or what to compare it to, that'd be great. Thank you!