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: 35

Answer

Irrational numbers

Work Step by Step

An irrational number is any number that cannot be represented by the quotient of two integers, and is a non-repeating, non-terminating decimal number. When we take the square root of $113$, we are left with a non-terminating, non-repeating decimal. This tells us that $\sqrt {113}$ is irrational.
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