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: 25

Answer

30

Work Step by Step

We first combine this into one square root: $5 \times 1/6 \sqrt {6\times 216} = 5/6 \sqrt {1296}$ 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 1296 is a perfect square, so we know that we can simplify: $5/6 \sqrt {1296}=⅚ \times 36=30$
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