# Question #dc299

Feb 18, 2017

$5 \sqrt{5 \times n}$ or $5 {\left(5 \times n\right)}^{\frac{1}{2}}$. Whichever one you prefer.

#### Explanation:

Rewrite the problem:

$\implies \sqrt{\left({5}^{3}\right) \left(n\right)}$

Write ${5}^{3}$ as $\left({5}^{2}\right) \left(5\right)$

$\implies \sqrt{\left({5}^{2}\right) \left(5\right) \left(n\right)}$

Take the ${5}^{2}$ out of the square root.

$\implies 5 \sqrt{\left(5\right) \left(n\right)}$

This can be rewritten as.

$\implies 5 {\left(5 \times n\right)}^{\frac{1}{2}}$