Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.2 - Page 169: 15

Answer

True

Work Step by Step

By the definition of rational, the first number can be written as $\frac{a}{b}$ and the second as $\frac{c}{d}$, with $a,b,c,d$ integers. Then, the product is $\frac{ac}{bd}$, where ac is integer as it is the product of integers, as is bd, so the product is rational
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