Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises - Page 20: 34


Rational Numbers, Whole Numbers, Integers, Natural Numbers

Work Step by Step

According to the textbook, a number, $a$, is a square root of another number, $b$, if $a^2=b$. The number $\sqrt {144}$ can be simplied to $12$ because $12^2=144$. A natural number is a number in the set $\{1,2,3,…….\}$. $12$ is a natural number because it lies in this set. Since the set of natural numbers is a part of the set of whole numbers, integers, and rational numbers, $12$ must also be a whole number, an integer, and a rational number.
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