simplify square root term

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I just wanted to know what rules were used to simplify the numerator since I thought that $1/\sqrt[3]{5}$*$\sqrt{\left(n^3\right) +\left( n\right)}$ cannot be simplified

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It was used that

$$\sqrt{n^3+n}=\sqrt[6]{(n^3+n)^3}$$

and then factored out $n^{10}$.