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

$\dfrac{x}{7}$
Using $\sqrt{\dfrac{x}{y}}=\dfrac{\sqrt{x}}{\sqrt{y}}$ or the quotient rule of radicals, the given expression, $\sqrt{\dfrac{x^2}{49}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{\sqrt{x^2}}{\sqrt{49}} \\\\= \dfrac{\sqrt{(x)^2}}{\sqrt{(7)^2}} \\\\= \dfrac{x}{7} .\end{array} Note that variables are assumed to have positive real numbers.