Simplify the Radical Expression square root of -44

$\sqrt{- 44}$

Step 1

Rewrite $- 44$ as $- 1 (44)$ .

$\sqrt{- 1 (44)}$

Step 2

Rewrite $\sqrt{- 1 (44)}$ as $\sqrt{- 1} \cdot \sqrt{44}$ .

$\sqrt{- 1} \cdot \sqrt{44}$

Step 3

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

$i \cdot \sqrt{44}$

Step 4

Rewrite $44$ as $2^{2} \cdot 11$ .

Factor $4$ out of $44$ .

$i \cdot \sqrt{4 (11)}$

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

$i \cdot \sqrt{2^{2} \cdot 11}$

Step 5

Pull terms out from under the radical.

$i \cdot (| 2 | \sqrt{11})$

Step 6

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$i \cdot (2 \sqrt{11})$

Step 7

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

$2 i \sqrt{11}$