Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Cumulative Review - Page 601: 30a

Answer

$\dfrac{11\sqrt{5}}{12}$

Work Step by Step

Using the properties of radicals, the expression $ \dfrac{\sqrt{20}}{3}+\dfrac{\sqrt{5}}{4} $ is \begin{array}{l} \dfrac{\sqrt{4\cdot5}}{3}+\dfrac{\sqrt{5}}{4} \\\\= \dfrac{\sqrt{4\cdot5}}{3}+\dfrac{\sqrt{5}}{4} \\\\= \dfrac{2\sqrt{5}}{3}+\dfrac{\sqrt{5}}{4} \\\\= \dfrac{4\cdot2\sqrt{5}+3\cdot\sqrt{5}}{12} \\\\= \dfrac{8\sqrt{5}+3\sqrt{5}}{12} \\\\= \dfrac{11\sqrt{5}}{12} .\end{array}
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