Answer
$\displaystyle \frac{9}{10}-\frac{3}{10}i$
Work Step by Step
We simplify:
$\displaystyle \frac{3}{3+i}=\frac{3}{3+i}*\frac{3-i}{3-i}=\frac{3(3-i)}{(3+i)(3-i)}=\frac{9-3i}{9-3i+3i-i^{2}}=\frac{9-3i}{9--1}=\frac{9}{10}-\frac{3}{10}i$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 1 - Review Exercises - Page 145: 37
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
