# How do you simplify sqrt(-225x^8)?

May 29, 2018

$15 {x}^{4} i$

#### Explanation:

$\sqrt{- 225 {x}^{8}}$

we will deal with each term separately

$\sqrt{- 225 {x}^{8}} = \sqrt{- 1} \times \sqrt{225} \times {\sqrt{x}}^{8}$

$= i \times 15 \times {x}^{4}$

$15 {x}^{4} i$