Simplify square root of -12/6

$\sqrt{\frac{- 12}{6}}$

Step 1

Divide $- 12$ by $6$ .

$\sqrt{- 2}$

Step 2

Rewrite $- 2$ as $- 1 (2)$ .

$\sqrt{- 1 (2)}$

Step 3

Rewrite $\sqrt{- 1 (2)}$ as $\sqrt{- 1} \cdot \sqrt{2}$ .

$\sqrt{- 1} \cdot \sqrt{2}$

Step 4

Rewrite $\sqrt{- 1}$ as $i$ .

$i \sqrt{2}$