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: 54

Answer

$34-15\sqrt5$

Work Step by Step

$(6+\sqrt5)(9-4\sqrt5)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(6\times9)+(6\times(-4)\sqrt5)+(9\times\sqrt5)+(\sqrt5\times(-4)\sqrt5)$ Simplify. $54-24\sqrt5+9\sqrt5-20$ Combine lik terms/like radicals. $34-15\sqrt5$
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