Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.5 - Complex Numbers - 1.5 Exercises - Page 119: 42

Answer

$$-3-\sqrt2i$$

Work Step by Step

Recall, the conjugate is the value that, when multiplied by the given expression, will yield only real numbers. This means that if the expression is in the form $a+bi$, the conjugate will be $a-bi$. In other words, $b$ will have the opposite sign in the conjugate. Considering this, we find that the conjugate is: $$-3-\sqrt2i$$
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