Answer
Converges
Work Step by Step
For this series $\Sigma_{n=1}^\infty \dfrac{-2}{n\sqrt n}=-2\Sigma_{n=1}^\infty \dfrac{1}{n^{3/2}} $
Thus, the given series is a p-series with $p=\dfrac{3}{2} \geq 1$
Hence, the given series converges.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.