Answer
$\dfrac{7}{4}$
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{49}{16}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\sqrt{49}}{\sqrt{16}}
\\\\=
\dfrac{\sqrt{(7)^2}}{\sqrt{(4)^2}}
\\\\=
\dfrac{7}{4}
.\end{array}
Note that variables are assumed to have positive real numbers.
