Algebra Examples

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

Step 1

Replace the variable $3$ with $3$ in the expression.

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

Step 2

Simplify the result.

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Step 2.1

Subtract $5$ from $3$ .

$f (3) = \sqrt{- 2}$

Step 2.2

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

$f (3) = \sqrt{- 1 \cdot 2}$

Step 2.3

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

$f (3) = \sqrt{- 1} \cdot \sqrt{2}$

Step 2.4

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

$f (3) = i \sqrt{2}$

Step 2.5

The final answer is $i \sqrt{2}$ .

$i \sqrt{2}$

Step 3