College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.3 - Complex Numbers - 1.3 Exercises: 40

Answer

$10+i\sqrt{2}$

Work Step by Step

Original Problem: $\frac{20 + \sqrt{-8}}{2}$ Factor out $\sqrt{-1}$ and 2 from $\sqrt{-8}$. $\frac{20+\sqrt{-1}\times2\sqrt{2}}{2}$ Recall that $\sqrt{-1}$ = $i$. $\frac{20+2i\sqrt{2}}{2}$ Divide each numerator term by 2. $10+i\sqrt{2}$
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