## 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, $\sqrt{\dfrac{x}{100}},$ is equivalent to \begin{array}{l}\require{cancel} \dfrac{\sqrt{x}}{\sqrt{100}} .\end{array} Hence, the given equality is justified by the $\text{ Quotient Rule .}$