Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - Common Core Cumulative Standards Review - Selected Response: 1


D Irrational Numbers

Work Step by Step

Even if we forgot this relationship, we can solve this problem using process of elimination. In other words, if we were not sure, we could create an example to test the answer. $2 \times \sqrt 2 =2.828427125...$ (Recall, $\sqrt 2 $ is a irrational number). 2.828427125... is not a whole number, rational number, or an integer, so we know that an irrational number (like $\sqrt 2 $) times a rational numer (like 2) will not always be a rational number, whole number, or integer. This eliminates answers A, B, and C, leaving us with the correct answer—D.
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