# What is equivalent to the square root of -27?

Jul 23, 2015

$\sqrt{- 27} = 3 \sqrt{3} i$

#### Explanation:

$\sqrt{- 27} = \sqrt{27} \cdot \sqrt{- 1}$

$\textcolor{w h i t e}{\text{XXXX}}$$= \sqrt{3 \cdot 3 \cdot 3} \cdot \sqrt{- 1}$

$\textcolor{w h i t e}{\text{XXXX}}$$= 3 \sqrt{3} \cdot \sqrt{- 1}$

$\textcolor{w h i t e}{\text{XXXX}}$$= 3 \sqrt{3} i$