Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - 4-8 Complex Numbers - Practice and Problem-Solving Exercises - Page 253: 8

Answer

$2i$

Work Step by Step

Using $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b},$ the given expression, $ \sqrt{-4} ,$ is equivalent to \begin{align*} & \sqrt{-1}\cdot\sqrt{4} \\&= \sqrt{-1}\cdot2 .\end{align*} Since $i=\sqrt{-1},$ the expression above is equivalent to \begin{align*}\require{cancel} & i\cdot2 \\&= 2i .\end{align*}
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.