## Introductory Algebra for College Students (7th Edition)

$5\sqrt{3x}$
Getting the perfect factors and then extracting its root, the simplified form of the given expression, $\sqrt{75x} ,$ is \begin{array}{l}\require{cancel} \sqrt{25\cdot3x} \\\\= \sqrt{(5)^2\cdot3x} \\\\= 5\sqrt{3x} .\end{array}