Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 623: 25



Work Step by Step

We first combine this into one square root: $5 \times 1/6 \sqrt {6\times 216} = 5/6 \sqrt {1296}$ In order to see if a radical is in simplified form, see if any of its factors are perfect squares (meaning that their square root will be an integer). We see that 1296 is a perfect square, so we know that we can simplify: $5/6 \sqrt {1296}=⅚ \times 36=30$
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