Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.7 - Complex Numbers - Exercise Set: 50

Answer

$28$

Work Step by Step

RECALL: (1) $(a-b)(a+b) = a^2-b^2$ (2) $i^2=-1$ Use rule (1) above with $a=5$ and $b=i\sqrt{3}$ to obtain: $=5^2 - (i\sqrt{3})^2 \\=25 - i^2(3)$ Use rule (2) above to obtain: $=25 - (-1)(3) \\=25-(-3) \\=25+3 \\=28$
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