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 - Concept Quiz 9.2: 5

Answer

True

Work Step by Step

$\sqrt {54}=\sqrt {9\times6}=\sqrt 9\times\sqrt 6=3\times\sqrt 6=3\sqrt 6$ $\sqrt{6}$ is not a perfect square, nor does it have any factors that are perfect squares, so the expression cannot be further simplified. Therefore, it can be seen that the simplest form of $\sqrt {54}$ is indeed $3\sqrt 6$.
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