Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.3 Complex Numbers - 1.3 Exercises: 53

Answer

$-i\sqrt{2}-2-(6-4i\sqrt{2})-(5-i\sqrt{2})=-13+4i\sqrt{2}$

Work Step by Step

$-i\sqrt{2}-2-(6-4i\sqrt{2})-(5-i\sqrt{2})$ Remove all grouping symbols: $-i\sqrt{2}-2-(6-4i\sqrt{2})-(5-i\sqrt{2})=...$ $...=-i\sqrt{2}-2-6+4i\sqrt{2}-5+i\sqrt{2}=...$ Group like terms (real terms together and imaginary terms together): $...=(-2-6-5)+(-i\sqrt{2}+4i\sqrt{2}+i\sqrt{2})=...$ Evaluate the indicated operations and simplify: $...=-13+4i\sqrt{2}$
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