Simplify square root of 25-x^2

$\sqrt{25 - x^{2}}$

Step 1

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} - x^{2}}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5$ and $b = x$ .

$\sqrt{(5 + x) (5 - x)}$