Determining convergence of a series

[grothem]

Homework Statement

Determine if the following is convergent or divergent
\Sigma\frac{n+5}{\sqrt[3]{n^7+n^2}} n from 1 to infinity

Homework Equations

Test for divergence came up with limit = 0 so I know it converges.

The Attempt at a Solution

Ratio test came up inconclusive. Should I try rationalizing the denominator?

 

[th3plan]

use a comparison test, and then u can see if diverges or converges