Trigonometry Examples

$- \sqrt{- 49}$

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 $i$ .

$- (7 \cdot i)$

Step 7

Multiply $7$ by $- 1$ .

$- 7 i$