# What is the simplified form of sqrt(49n^9)?

Jun 13, 2016

$\sqrt{49 {n}^{9}} = 7 {n}^{4} \sqrt{n}$

#### Explanation:

$\sqrt{49 {n}^{9}}$

= $\sqrt{7 \times 7 \times n \times n \times n \times n \times n \times n \times n \times n \times n}$

= $\sqrt{\underline{7 \times 7} \times \underline{n \times n} \times \underline{n \times n} \times \underline{n \times n} \times \underline{n \times n} \times n}$

= $7 \times n \times n \times n \times n \times \sqrt{n}$

= $7 {n}^{4} \sqrt{n}$