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

Published by Pearson

# Chapter 10 - Exponents and Radicals - 10.8 The Complex Numbers - 10.8 Exercise Set: 19

#### Answer

$-10i\sqrt{3}$

#### Work Step by Step

Using $i=\sqrt{-1}$ and the properties of radicals, the given expression, $-\sqrt{-300} ,$ is equivalent to \begin{array}{l}\require{cancel} -\sqrt{300}\cdot\sqrt{-1} \\\\= -\sqrt{100\cdot3}\cdot i \\\\= -\sqrt{(10)^2\cdot3}\cdot i \\\\= -10i\sqrt{3} .\end{array}

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.