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: 43

Answer

Inverse property of multiplication

Work Step by Step

The inverse property of multiplication states that for any nonzero real number, $a$, $a \cdot \frac{1}{a} = 1$ Thus, $\dfrac{1}{\sqrt{2}+\sqrt{7}} (\sqrt{2}+\sqrt{7})=1$. Therefore, the given statement illustrates the inverse property of multiplication.
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