Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.7 - Complex Numbers - Exercise Set - Page 463: 78

Answer

$30$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, the expression $ (\sqrt{14}-4i)(\sqrt{14}+4i) $ simplifies to \begin{array}{l} (\sqrt{14})^2-(4i)^2 \\= 14-16i^2 \\= 14-16(-1) \\= 30 .\end{array}
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