Convergence/divergence of the series $\sum_{n=1}^{\infty}\frac{1}{n^\sqrt{n}}$ $$\sum_{n=1}^{\infty}\frac{1}{n^\sqrt{n}}$$
Determine whether this series is convergent or not, with explanation.
Each element is positive, so I've tried bounding it by another convergent series, but couldn't see how.
I couldn't apply integral test, because I couldn't integrate it.
I'm struggling to figure out which convergence/divergence test I should use.
(I can use absolute convergence theorems too)
I would really appreciate some help!
Thank you!

$1\lt \sqrt2\lt\sqrt{n}\,\,\,\,\,\,\,\,\,\,\forall n\ge3\implies0\lt\dfrac{1}{n^{\sqrt{n}}}\lt\dfrac{1}{n^{\sqrt2}}\,\,\,\,\,\,\,\,\,\,\forall n\ge3$
