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: 60

Answer

$$-5\sqrt2$$

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: $$ \sqrt5i\cdot \sqrt{10}i \\ \\ -\sqrt{50} \\ -5\sqrt2$$
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