Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.5 - Complex Numbers - 1.5 Exercises - Page 119: 46


$1+2\sqrt2, 9+4\sqrt2$

Work Step by Step

z = $1+\sqrt 8$ The complex conjugate of a+bi is a-bi. There is no imaginary term, so its complex conjugate is the same number. Multiplying the complex number by its conjugate gives : ($1+\sqrt 8$) * ($1+\sqrt 8$) = $1+2\sqrt 8+8 = 9+2\sqrt 8 = 9+4\sqrt2$
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