Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review: 87

Answer

$-2\sqrt 5$

Work Step by Step

$\sqrt {20}+\sqrt {45}-7\sqrt {5}$ =$\sqrt {4\times5}+\sqrt {9\times5}-7\sqrt {5}$ =$(\sqrt {4}\times\sqrt {5})+(\sqrt 9\times\sqrt 5)-7\sqrt {5}$ =$(2\sqrt {5})+(3\sqrt 5)-7\sqrt {5}$ =$(2+3-7)\sqrt 5$ =$-2\sqrt 5$
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