Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.4 Dividing Radical Expressions - 10.4 Exercise Set: 12

Answer

$\dfrac{9}{5}$

Work Step by Step

Using the properties of radicals, the given expression, $ \sqrt{\dfrac{81}{25}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{\sqrt{81}}{\sqrt{25}} \\\\= \dfrac{\sqrt{(9)^2}}{\sqrt{(5)^2}} \\\\= \dfrac{9}{5} \end{array}
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