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: 35

Answer

$2+6i\sqrt {7}$

Work Step by Step

Make the square roots positive by taking out the $i$ and simplify them. then FOIL the two groups of parentheses and combine like terms. $(-3-\sqrt {-7})^2$ $(-3-\sqrt {-7})(-3-\sqrt {-7})$ $(-3-i\sqrt {7})(-3-i\sqrt {7})$ $9+3i\sqrt {7}+3i\sqrt {7}+(\sqrt {7})^2$ $99+6i\sqrt {7}+(-7)$ $2+6i\sqrt {7}$
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