Determining convergence of a series

1. 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

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

3. The Attempt at a Solution
Ratio test came up inconclusive. Should I try rationalizing the denominator?
1. Homework Statement

2. Homework Equations

3. The Attempt at a Solution
1. Homework Statement

2. Homework Equations

3. The Attempt at a Solution

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