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

Answer

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.
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