## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5 - Page 309: 48

#### Answer

$\sqrt3 - \sqrt3 = 0$ $\sqrt3$ is irrational, but 0 is not.

#### Work Step by Step

Irrational numbers are not closed with respect to subtraction, as can be seen in the example below: $\sqrt3$ is an irrational number. However, $\sqrt3 - \sqrt3 = 0$, which is not an irrational number.

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