Simplify square root of -294

$\sqrt{- 294}$

Step 1

Rewrite $- 294$ as $- 1 (294)$ .

$\sqrt{- 1 (294)}$

Step 2

Rewrite $\sqrt{- 1 (294)}$ as $\sqrt{- 1} \cdot \sqrt{294}$ .

$\sqrt{- 1} \cdot \sqrt{294}$

Step 3

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

$i \cdot \sqrt{294}$

Step 4

Rewrite $294$ as $7^{2} \cdot 6$ .

Factor $49$ out of $294$ .

$i \cdot \sqrt{49 (6)}$

Rewrite $49$ as $7^{2}$ .

$i \cdot \sqrt{7^{2} \cdot 6}$

Step 5

Pull terms out from under the radical.

$i \cdot (7 \sqrt{6})$

Step 6

Move $7$ to the left of $i$ .

$7 i \sqrt{6}$