Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 6 Rational Exponents and Radical Functions - Cumulative Review Chapters 1-6 - Page 474: 27

Answer

$$34+8i$$

Work Step by Step

We know that $i=\sqrt{-1}$. We also know that standard form is $a\pm bi$, where a and b are real numbers. Thus, simplifying the equation, we find: $$\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i \\ \left(4\cdot \:6-\left(-2\right)\cdot \:5\right)+\left(4\cdot \:5+\left(-2\right)\cdot \:6\right)i \\ 34+8i$$
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