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: 67

Answer

The answer is below.

Work Step by Step

In order to simplify this number, first look for the largest factor of 72 that is a perfect square. This number is 36. Then, multiply this number by two inside of the radical. Next, cancel out the power to get it out of the radical to simplify. The Math can be shown as follows: $$ 5\sqrt{2\times36} \\ 5 \sqrt{ 2 \times 6^2} \\ 5 \times 6 \sqrt{2} \\30\sqrt{2}$$
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