Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Problem Set 9.2: 22

Answer

$-12 \sqrt{6}$

Work Step by Step

In order to simplify a radical, we consider the factors of the number inside of the radical. If any of these factors are perfect squares, meaning that their square root is a whole number, then we can simplify the radical. We know that 9 and 6 are factors of 54. We know that 9 is a perfect square, so we simplify: $-4 \sqrt{9} \sqrt{6}=-12 \sqrt{6}$
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