Simplify square root of -49

$\sqrt{- 49}$

Step 1

Rewrite $- 49$ as $- 1 (49)$ .

$\sqrt{- 1 (49)}$

Step 2

Rewrite $\sqrt{- 1 (49)}$ as $\sqrt{- 1} \cdot \sqrt{49}$ .

$\sqrt{- 1} \cdot \sqrt{49}$

Step 3

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

$i \cdot \sqrt{49}$

Step 4

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

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

Step 5

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

$i \cdot 7$

Step 6

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

$7 i$