Answer
$\dfrac{\sqrt{7}}{5}$
Work Step by Step
Using $\sqrt{\dfrac{x}{y}}=\dfrac{\sqrt{x}}{\sqrt{y}}$ or the quotient rule of radicals, the given expression, $
\sqrt{\dfrac{7}{25}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\sqrt{7}}{\sqrt{25}}
\\\\=
\dfrac{\sqrt{7}}{(5)^2}
\\\\=
\dfrac{\sqrt{7}}{5}
.\end{array}
Note that variables are assumed to have positive real numbers.
