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 - Test: Chapter 10: 26

Answer

$5i\sqrt{2}$

Work Step by Step

Using the Product Rule of radicals which is given by $\sqrt[m]{x}\cdot\sqrt[m]{y}=\sqrt[m]{xy},$ the given expression is equivalent to\begin{array}{l}\require{cancel} \sqrt{-50} \\\\= \sqrt{-1}\cdot\sqrt{50} .\end{array} Using $i=\sqrt{-1}$ and extracting the factors that are perfect powers of the index, the expression above simplifies to \begin{array}{l}\require{cancel} \sqrt{-1}\cdot\sqrt{50} \\\\= i\sqrt{25\cdot2} \\\\= i\sqrt{(5)^2\cdot2} \\\\= 5i\sqrt{2} .\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.