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: 39

Answer

$2+2i\sqrt{2}$

Work Step by Step

Original Problem: $\frac{10 + \sqrt{-200}}{5}$ Factor out $\sqrt{-1}$ and 10 from $\sqrt{-200}$. $\frac{10+\sqrt{-1}\times10\sqrt{2}}{5}$ Recall that $\sqrt{-1}$ = $i$. $\frac{10+10i\sqrt{2}}{5}$ Divide each numerator term by 5. $2+2i\sqrt{2}$
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