Evaluate – square root of -9

$- \sqrt{- 9}$

Rewrite $- 9$ as $- 1 (9)$ .

$- \sqrt{- 1 (9)}$

Rewrite $\sqrt{- 1 (9)}$ as $\sqrt{- 1} \cdot \sqrt{9}$ .

$- (\sqrt{- 1} \cdot \sqrt{9})$

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

$- (i \cdot \sqrt{9})$

Rewrite $9$ as $3^{2}$ .

$- (i \cdot \sqrt{3^{2}})$

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

$- (i \cdot 3)$

Move $3$ to the left of $i$ .

$- (3 \cdot i)$

Multiply $3$ by $- 1$ .

$- 3 i$

Evaluate – square root of -9

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