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

$2x^3\sqrt{2x}$
Getting the perfect factors and then extracting its root, the simplified form of the given expression, $\sqrt{12x^{7}} ,$ is \begin{array}{l}\require{cancel} \sqrt{4x^{6}\cdot 2x} \\\\= \sqrt{(2x^3)^2\cdot 2x} \\\\= 2x^3\sqrt{2x} .\end{array} Note that variables are assumed to represent positive real numbers.