Elementary Algebra

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

Chapter 9 - Roots and Radicals - Chapters 1-9 Cumulative Review Problem Set - Page 432: 39


$-3\sqrt 5$

Work Step by Step

To simplify the expression, we will simplify the term within the square root by writing it as its two constituent factors: $-\sqrt {45}$ =$-\sqrt {9\times5}$ =$-(\sqrt 9\times\sqrt 5)$ =$-(\sqrt {3^{2}}\times\sqrt 5)$ =$-(3\times\sqrt 5)$ =$-3\sqrt 5$
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