Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.3 - Operations with Radicals - Exercise Set - Page 592: 60



Work Step by Step

$(\sqrt{6}+\sqrt3)(\sqrt{6}+5\sqrt3)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(\sqrt{6}\times\sqrt{6})+(\sqrt6\times5\sqrt{3})+(\sqrt3\times\sqrt{6})+(\sqrt3\times5\sqrt3)$ Simplify. $6+5\sqrt{18}+\sqrt{18}+15$ Combine like terms/like radicals. $21+6\sqrt{18}$ Simplify $21+6\sqrt{9\times2}$ $21+6(3)(\sqrt2)$ $21+18\sqrt2$
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