Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5 - Page 309: 37

Answer

associative property of multiplication

Work Step by Step

The associative property of multiplication states that for any real numbers a, b, and c, $a(b \cdot c) = (a \cdot b) \cdot c$ Thus, $(2\sqrt{3})\cdot \sqrt{5} = 2(\sqrt{3} \cdot \sqrt{5})$ Therefore, the given statement illustrates the associative property of multiplication.
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