Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises - Page 75: 91



Work Step by Step

RECALL: $(a+b)(c+d)=ac+ad+bc+bd$ (popularly known as the FOIL method) Use the formula above to obtain: $=(3\sqrt2)(2\sqrt3)+(3\sqrt2)(-\sqrt2)+(\sqrt3)(2\sqrt3)+(\sqrt3)(-\sqrt2) \\=6\sqrt6-3(2)+2(3)-\sqrt6 \\=6\sqrt6-6+6-\sqrt6 \\=(6\sqrt6-\sqrt6)+(-6+6) \\=5\sqrt6+0 \\=\color{blue}{5\sqrt6}$
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