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 - Page 493: 10


$3i\sqrt 5$

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: $\sqrt {-1}\sqrt {45}$ We subsititute in $i$ for $\sqrt {-1}$: $i\sqrt {45}$ We simplify the real square root using multiplication rules: $i\sqrt {9}\sqrt 5=3i\sqrt 5$
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