## Intermediate Algebra (12th Edition)

The given radical expression, $\dfrac{5}{\sqrt[3]{10}} ,$ is not simplified because the denominator contains a radical.
$\bf{\text{Solution Outline:}}$ Use the following conditions in checking if a radical is in simplest form: 1. The radicand has no factor raised to a power greater than or equal to the index. 2. The radicand has no fractions. 3. No denominator contains a radical. 4. Exponents in the radicand and the index of radical have greatest common factor 1. $\bf{\text{Solution Details:}}$ The given radical expression, $\dfrac{5}{\sqrt[3]{10}} ,$ is not simplified because the denominator contains a radical.