Answer
$5i\sqrt 3$
Work Step by Step
Recall, $i=\sqrt{-1}$. Thus, we obtain:
$\sqrt {-75}$
$=\sqrt {-1\times3\times25}$
$=\sqrt {-1}\times \sqrt 3\times \sqrt {25}$
$=i\times \sqrt 3\times \sqrt {5^{2}}$
$=i\times \sqrt 3\times 5$
$=5i\sqrt 3$
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
Published by
Cengage Learning
ISBN 10:
1285194055
ISBN 13:
978-1-28519-405-9
Chapter 11 - Additional Topics - Chapter 11 Test - Page 521: 6
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