Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - 1.4 Positive and Negative Real Numbers - 1.4 Exercise Set - Page 36: 101

Answer

Since $\sqrt(2)$ is an irrational number, it has an infinite number of decimal places. The calculator cannot show all of these, so it rounds the answer. Hence, the decimal value on the calculator is not exact. Thus, when you square this value, it is not exactly equal to 2.

Work Step by Step

see above
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