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: 11

Answer

$\sqrt 2$

Work Step by Step

The $\sqrt 2$ is an irrational number because its decimal approximation never repeats, not does it terminate. Since the real numbers are made up by combining all the rational and irrational numbers, the $\sqrt 2$ is also real.
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