Evaluate square root of -60

$\sqrt{- 60}$

Step 1

Rewrite $- 60$ as $- 1 (60)$ .

$\sqrt{- 1 (60)}$

Step 2

Rewrite $\sqrt{- 1 (60)}$ as $\sqrt{- 1} \cdot \sqrt{60}$ .

$\sqrt{- 1} \cdot \sqrt{60}$

Step 3

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

$i \cdot \sqrt{60}$

Step 4

Rewrite $60$ as $2^{2} \cdot 15$ .

Factor $4$ out of $60$ .

$i \cdot \sqrt{4 (15)}$

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

$i \cdot \sqrt{2^{2} \cdot 15}$

Step 5

Pull terms out from under the radical.

$i \cdot (2 \sqrt{15})$

Step 6

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

$2 i \sqrt{15}$