## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Using the Quotient Rule of radicals which is given by $\sqrt[n]{\dfrac{x}{y}}=\dfrac{\sqrt[n]{x}}{\sqrt[n]{y}}{},$ the expression, $\dfrac{\sqrt{5a^4}}{\sqrt{5a^3}} ,$ is equivalent to \begin{array}{l}\require{cancel} \dfrac{\sqrt{5a^4}}{\sqrt{5a^3}} \\\\= \sqrt{\dfrac{5a^4}{5a^3}} \\\\= \sqrt{\dfrac{\cancel5a^{4-3}}{\cancel5}} \\\\= \sqrt{a} .\end{array} Hence, $\text{ Choice C .}$