## Elementary Algebra

$\dfrac{\sqrt{13}}{2}$
Recall, we are not allowed to have radicals in the denominator of a fraction. Using the properties of radicals, the given expression, $\sqrt{3\dfrac{1}{4}} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt{\dfrac{13}{4}} \\\\= \dfrac{\sqrt{13}}{\sqrt{4}} \\\\= \dfrac{\sqrt{13}}{\sqrt{(2)^2}} \\\\= \dfrac{\sqrt{13}}{2} .\end{array}