Precalculus Examples

$3 + \sqrt{{(3 m)}^{2} - 4}$

Step 1

Rewrite $4$ as $2^{2}$ .

$3 + \sqrt{{(3 m)}^{2} - 2^{2}}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 3 m$ and $b = 2$ .

$3 + \sqrt{(3 m + 2) (3 m - 2)}$