Evaluate - square root of -36

$- \sqrt{- 36}$

Step 1

Rewrite $- 36$ as $- 1 (36)$ .

$- \sqrt{- 1 (36)}$

Step 2

Rewrite $\sqrt{- 1 (36)}$ as $\sqrt{- 1} \cdot \sqrt{36}$ .

$- (\sqrt{- 1} \cdot \sqrt{36})$

Step 3

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

$- (i \cdot \sqrt{36})$

Step 4

Rewrite $36$ as $6^{2}$ .

$- (i \cdot \sqrt{6^{2}})$

Step 5

Pull terms out from under the radical, assuming positive real numbers.

$- (i \cdot 6)$

Step 6

Move $6$ to the left of $i$ .

$- (6 \cdot i)$

Step 7

Multiply $6$ by $- 1$ .

$- 6 i$