Simplify square root of 16-x^2

$\sqrt{16 - x^{2}}$

Step 1

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} - x^{2}}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 4$ and $b = x$ .

$\sqrt{(4 + x) (4 - x)}$