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: 4

Answer

$-\sqrt 21$

Work Step by Step

Step 1: $\sqrt -3\times\sqrt -7$ Step 2: As $\sqrt -1=i$, the expression becomes $i\sqrt 3 \times i\sqrt 7$ Step 3: Since i^{2}=-1, the expression becomes $-\sqrt 3\sqrt 7$ Step 4: Simplifying, the expression becomes $-\sqrt 21$
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