Simplify square root of -64-12

$\sqrt{- 64 - 12}$

Subtract $12$ from $- 64$ .

$\sqrt{- 76}$

Rewrite $- 76$ as $- 1 (76)$ .

$\sqrt{- 1 (76)}$

Rewrite $\sqrt{- 1 (76)}$ as $\sqrt{- 1} \cdot \sqrt{76}$ .

$\sqrt{- 1} \cdot \sqrt{76}$

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

$i \cdot \sqrt{76}$

Rewrite $76$ as $2^{2} \cdot 19$ .

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Factor $4$ out of $76$ .

$i \cdot \sqrt{4 (19)}$

Rewrite $4$ as $2^{2}$ .

$i \cdot \sqrt{2^{2} \cdot 19}$

Pull terms out from under the radical.

$i \cdot (2 \sqrt{19})$

Move $2$ to the left of $i$ .

$2 i \sqrt{19}$

Simplify square root of -64-12

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