Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.4 - Complex Numbers - Problem Set 11.4: 3

Answer

$\frac{5}{3}i$

Work Step by Step

The number $i$ is defined as $\sqrt {-1}$ We use the rules of multiplication for square roots to separate the radical: $\sqrt {-1}\sqrt {\frac{25}{9}}$ We subsititute in $i$ for $\sqrt {-1}$: $i\sqrt {\frac{25}{9}}$ We simplify the real square root: $\frac{\sqrt {25}}{\sqrt {9}}i=\frac{5}{3}i$
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