Elementary Algebra

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

Chapter 9 - Roots and Radicals - Chapter 9 Review Problem Set: 52

Answer

$-7\sqrt{2x}$

Work Step by Step

Using the properties of radicals, the given expression, $ \sqrt{8x}-3\sqrt{18x} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt{4\cdot2x}-3\sqrt{9\cdot2x} \\\\= \sqrt{(2)^2\cdot2x}-3\sqrt{(3)^2\cdot2x} \\\\= 2\sqrt{2x}-3(3)\sqrt{2x} \\\\= 2\sqrt{2x}-9\sqrt{2x} \\\\= -7\sqrt{2x} .\end{array}
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