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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.1, Problem 81E

To determine

To explain: the sum, the difference, and the product of two rational numbers are rational numbers, whether the product of two irrational numbers necessarily irrational, to find about the sum.

Expert Solution

Suppose that

Since the sum of integers is an integer, then

Similarly,

But

The sum of irrational numbers is irrational

The product of irrational numbers is not necessarily irrational.