# How do you simplify (-16)^(1/2) ?

Mar 20, 2016

$4 i$

#### Explanation:

We can split ${\left(- 16\right)}^{\frac{1}{2}}$ as

${\left(16 \times - 1\right)}^{\frac{1}{2}} = {\left(16\right)}^{\frac{1}{2}} \times {\left(- 1\right)}^{\frac{1}{2}}$

= $\sqrt{16} \times {\left(- 1\right)}^{\frac{1}{2}}$

= $4 i$