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: 44

Answer

$-i\sqrt {15}, 15$

Work Step by Step

$\sqrt {-15}= \sqrt {15}i$ Rewrite the expression in standard form. Complex conjugate of the above expression is $-\sqrt {15} i$ as the complex conjugate of a+bi is a-bi. $-\sqrt {15}i * \sqrt {15}i= -i^2*15 = 1*15=15$ Multiply the number and its complex conjugate.
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