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: 64


$$ (\sqrt{45}-\sqrt{5})i$$

Work Step by Step

We know that $i=\sqrt{-1}$ and that $i^2=-1$. We also know that standard form is $a\pm bi$, where a and b are real numbers. Thus, simplifying the equation, we find: $$\sqrt{45}i-\sqrt{5}i \\ (\sqrt{45}-\sqrt{5})i$$ $$(3\sqrt{5}-\sqrt{5})i$$ $$(2\sqrt{5})i$$
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