Calculus Examples

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

Step 1

Simplify by adding numbers.

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Step 1.1

Add $- 3$ and $3$ .

$f (- 3) = \sqrt{0 - 3}$

Step 1.2

Subtract $3$ from $0$ .

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

Step 2

Rewrite $- 3$ as $- 1 (3)$ .

$f (- 3) = \sqrt{- 1 \cdot 3}$

Step 3

Rewrite $\sqrt{- 1 (3)}$ as $\sqrt{- 1} \cdot \sqrt{3}$ .

$f (- 3) = \sqrt{- 1} \cdot \sqrt{3}$

Step 4

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

$f (- 3) = i \sqrt{3}$