Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 610: 23

Answer

4

Work Step by Step

We first combine this into one square root: $1/3 \sqrt {6\times 24} = 1/3 \sqrt {144}$ We see if any of the factors of a radical are perfect squares (meaning that their square root will be an integer) to see if the radical is in its most simplified form. 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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