Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - Review Exercises: Chapter 10: 52

Answer

$3i\sqrt{5}$

Work Step by Step

Using $i=\sqrt{-1}$ and the properties of radicals, the given expression simplifies to \begin{array}{l}\require{cancel} \sqrt{-45} \\\\= \sqrt{-1}\cdot\sqrt{45} \\\\= i\sqrt{9\cdot5} \\\\= i\sqrt{(3)^2\cdot5} \\\\= 3i\sqrt{5} .\end{array}
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