Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.3 - More on Simplifying Radicals - Problem Set 9.3 - Page 412: 31


$\frac{\sqrt 6}{12}$

Work Step by Step

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: $\sqrt {\frac{1}{24}\times\frac{6}{6}}$ =$\sqrt {\frac{1\times6}{24\times6}}$ =$\sqrt {\frac{6}{144}}$ =$\frac{\sqrt 6}{\sqrt {144}}$ =$\frac{\sqrt 6}{12}$
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