Basic Math Examples

$9 - \sqrt{\frac{12}{- 3}}$

Step 1

Divide $12$ by $- 3$ .

$9 - \sqrt{- 4}$

Step 2

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

$9 - \sqrt{- 1 (4)}$

Step 3

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

$9 - (\sqrt{- 1} \cdot \sqrt{4})$

Step 4

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

$9 - (i \cdot \sqrt{4})$

Step 5

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

$9 - (i \cdot \sqrt{2^{2}})$

Step 6

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

$9 - (i \cdot 2)$

Step 7

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

$9 - (2 \cdot i)$

Step 8

Multiply $2$ by $- 1$ .

$9 - 2 i$