Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.1 - Complex Numbers - Concept and Vocabulary Check: 7

Answer

$2+5i$

Work Step by Step

RECALL: To divide the complex numbers $\dfrac{a+bi}{c-di}$, the conjugate of the denominator, which is $c+di$, must be multiplied to both the numerator and the denominator. Thus, the division $\dfrac{7+4i}{2-5i}$ requires multiplying $2+5i$ to both the numerator and the denominator.
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