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: 54

Answer

$3\sqrt{7}-(4\sqrt{7}-i)-4i+(-2\sqrt{7}+5i)=-3\sqrt{7}+2i$

Work Step by Step

$3\sqrt{7}-(4\sqrt{7}-i)-4i+(-2\sqrt{7}+5i)$ Remove all grouping symbols: $3\sqrt{7}-(4\sqrt{7}-i)-4i+(-2\sqrt{7}+5i)=...$ $...=3\sqrt{7}-4\sqrt{7}+i-4i-2\sqrt{7}+5i=...$ Combine like terms (real terms together and imaginary terms together): $...=(3\sqrt{7}-4\sqrt{7}-2\sqrt{7})+(i-4i+5i)=...$ Evaluate the indicated operations and simplify: $...=-3\sqrt{7}+2i$
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