Evaluate Using the Given Value f(-6)=2 square root of -6

$f (- 6) = 2 \sqrt{- 6}$

Step 1

Rewrite $- 6$ as $- 1 (6)$ .

$f (- 6) = 2 \sqrt{- 1 \cdot 6}$

Step 2

Rewrite $\sqrt{- 1 (6)}$ as $\sqrt{- 1} \cdot \sqrt{6}$ .

$f (- 6) = 2 (\sqrt{- 1} \cdot \sqrt{6})$

Step 3

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

$f (- 6) = 2 i \sqrt{6}$