Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Review Exercises - Page 619: 12


$$3\sqrt 6$$

Work Step by Step

We can use the product rule for square roots to rewrite the radicand as a product of the greatest perfect square factor and another factor: $$\sqrt 54 = \sqrt 9\sqrt 6$$ Because $9$ is a perfect square, we go ahead and simplify the expression by taking the square root of $9$, which is $3$: $$3\sqrt 6$$
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