Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.6 - Complex Numbers - 1.6 Exercises: 6


Is the sum of a complex number and its complex conjugate a real number? Yes.

Work Step by Step

To prove this, add a+bi (a complex number, with a being real and b being imaginary) to its complex conjugate a-bi. a+bi + (a-bi) = a+bi + a-bi = 2a. The imaginary numbers cancel each other out, leaving 2a, a real number.
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.