Algebra Examples

$f (- 5) = \sqrt{- 5 + 3}$

Step 1

Add $- 5$ and $3$ .

$f (- 5) = \sqrt{- 2}$

Step 2

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

$f (- 5) = \sqrt{- 1 \cdot 2}$

Step 3

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

$f (- 5) = \sqrt{- 1} \cdot \sqrt{2}$

Step 4

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

$f (- 5) = i \sqrt{2}$