Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Review Exercises - Page 578: 88

Answer

$3i\sqrt 7$

Work Step by Step

Solve $\sqrt{-63}$ As per square root property, we have $\sqrt{63}=\sqrt{9 \cdot 7}=\sqrt{3^2} \cdot \sqrt 7= 3\sqrt 7$ Thus, $\sqrt{-63}=3\sqrt 7\sqrt {-1}$ Since, $i^2=-1$ and $\sqrt {-1}=i$ Hence, $\sqrt{-63}=3i\sqrt 7$
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