# How do you simplify the expression sqrt(-64x^4)?

Apr 15, 2016

$\implies 8 {x}^{2} i$

I have invited someone to check this!

#### Explanation:

As soon as you see a negative value to have its square root calculated you know that complex numbers are involves.

Write as $\sqrt{\left(- 1\right) \times {8}^{2} \times {x}^{2} \times {x}^{2}}$

$\implies 8 \times x \times x \times \sqrt{- 1} \text{ " =" } 8 {x}^{2} \sqrt{- 1}$

But $\sqrt{- 1} = i$

$\implies 8 {x}^{2} i$