Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - Chapter 11 Test - Page 521: 6


$5i\sqrt 3$

Work Step by Step

Recall, $i=\sqrt{-1}$. Thus, we obtain: $\sqrt {-75}$ $=\sqrt {-1\times3\times25}$ $=\sqrt {-1}\times \sqrt 3\times \sqrt {25}$ $=i\times \sqrt 3\times \sqrt {5^{2}}$ $=i\times \sqrt 3\times 5$ $=5i\sqrt 3$
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