College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.4 - Page 142: 44

Answer

$-12\sqrt {14}$

Work Step by Step

Make the square roots positive by creating an imaginary number outside them. Then multiply the terms in the parentheses and turn $i^2$ into $-1$. Then simplify the radical. $(3\sqrt {-7})(2\sqrt {-8})$ $(3i\sqrt {7})(2i\sqrt {8})$ $6i^2\sqrt {56}$ $-6\sqrt {56}$ $-12\sqrt {14}$
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