Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.7 - Complex Numbers - Practice: 6

Answer

$9i$

Work Step by Step

Step 1: $\sqrt 27\times\sqrt -3$ Step 2: $\sqrt (27\times-3)$ Step 3: $\sqrt (-81)$ Step 4: $\sqrt -1\times\sqrt 81$ Step 5: As $\sqrt -1=i$, the expression becomes $i\sqrt 81$ Step 6: Simplifying further, the expression becomes $i(9)$ or $9i$
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