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 - 10.8 The Complex Numbers - 10.8 Exercise Set - Page 686: 20



Work Step by Step

Using $i=\sqrt{-1}$ and the properties of radicals, the given expression, $ -\sqrt{-75} ,$ is equivalent to \begin{array}{l}\require{cancel} -\sqrt{75}\cdot\sqrt{-1} \\\\= -\sqrt{25\cdot3}\cdot i \\\\= -\sqrt{(5)^2\cdot3}\cdot i \\\\= -5i\sqrt{3} .\end{array}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.