Evaluate square root of -320

$\sqrt{- 320}$

Rewrite $- 320$ as $- 1 (320)$ .

$\sqrt{- 1 (320)}$

Rewrite $\sqrt{- 1 (320)}$ as $\sqrt{- 1} \cdot \sqrt{320}$ .

$\sqrt{- 1} \cdot \sqrt{320}$

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

$i \cdot \sqrt{320}$

Rewrite $320$ as $8^{2} \cdot 5$ .

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Factor $64$ out of $320$ .

$i \cdot \sqrt{64 (5)}$

Rewrite $64$ as $8^{2}$ .

$i \cdot \sqrt{8^{2} \cdot 5}$

Pull terms out from under the radical.

$i \cdot (8 \sqrt{5})$

Move $8$ to the left of $i$ .

$8 i \sqrt{5}$

Evaluate square root of -320