## Elementary Algebra

$\frac{\sqrt 6}{12}$
Recall that we are not allowed to have radicals in the denominator of a fraction. Using the properties of radicals, the given expression, $\sqrt \frac{1}{24}$, simplifies to: $\sqrt {\frac{1}{24}\times\frac{6}{6}}$ =$\sqrt {\frac{1\times6}{24\times6}}$ =$\sqrt {\frac{6}{144}}$ =$\frac{\sqrt 6}{\sqrt {144}}$ =$\frac{\sqrt 6}{12}$