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: 23

Answer

4

Work Step by Step

We first combine this into one square root: $1/3 \sqrt {6\times 24} = 1/3 \sqrt {144}$ 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 144 is a perfect square, so we know that we can simplify: $1/3 \sqrt {144}=12/3=4$
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