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: 40

Answer

$\dfrac{\sqrt{13}}{2}$

Work Step by Step

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}
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