#### Answer

The statement is true. See below for proof.

#### Work Step by Step

We are given that $z=a+bi$:
$z+\overline{z}=(a+bi)+\overline{(a+bi)}=a+bi+a-bi=2a+bi-bi=2a$
Since $a$ is a real number, $2a$ is also a real number.

Published by
Brooks Cole

ISBN 10:
1305115546

ISBN 13:
978-1-30511-554-5

The statement is true. See below for proof.

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.