Algebra Examples

$2 \cdot \sqrt{- 4}$

Step 1

Rewrite $- 4$ as $- 1 (4)$ .

$2 \cdot \sqrt{- 1 (4)}$

Step 2

Rewrite $\sqrt{- 1 (4)}$ as $\sqrt{- 1} \cdot \sqrt{4}$ .

$2 \cdot (\sqrt{- 1} \cdot \sqrt{4})$

Step 3

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

$2 \cdot (i \cdot \sqrt{4})$

Step 4

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

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

Step 5

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

$2 \cdot (i \cdot 2)$

Step 6

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

$2 \cdot (2 \cdot i)$

Step 7

Multiply $2$ by $2$ .

$4 i$