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: 15

Answer

$24 \sqrt{2}$

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 36 and 2 are factors of 72. We know that 36 is a perfect square, so we simplify: $ 4\sqrt{36} \sqrt{2}=4*6\sqrt{2}=24 \sqrt{2}$
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