College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.4 - Page 142: 38


$-\frac{3}{8}+i\frac{\sqrt 7}{16}$

Work Step by Step

Take the negative out of the square root by creating an imaginary number outside it. Then simplify the square root and separate the addends into two separate fractions. Then simplify each fraction further. $\frac{-12+\sqrt {-28}}{32}$ $\frac{-12+i\sqrt {28}}{32}$ $\frac{-12+2i\sqrt {7}}{32}$ $\frac{-12}{32}+\frac{2i\sqrt 7}{32}$ $-\frac{3}{8}+i\frac{\sqrt 7}{16}$
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.