Algebra Examples

$\sqrt{- 2 x^{2}}$

Step 1

Reorder $- 2$ and $x^{2}$ .

$\sqrt{x^{2} \cdot - 2}$

Step 2

Pull terms out from under the radical.

$x \sqrt{- 2}$

Step 3

Rewrite $- 2$ as $- 1 (2)$ .

$x \sqrt{- 1 (2)}$

Step 4

Rewrite $\sqrt{- 1 (2)}$ as $\sqrt{- 1} \cdot \sqrt{2}$ .

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

Step 5

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

$x i \sqrt{2}$