Algebra 1: Common Core (15th Edition)

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

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises: 62

Answer

The student is wrong.

Work Step by Step

The student writes the fraction as $\sqrt 7/1$. However, for a rational number to exist, we must be able to write a fraction containing two integers. $\sqrt 7$ is not an integer, so the student cannot do this step. In fact, $\sqrt 7$ is an unending decimal, making it an irrational number.
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