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: 74

Answer

78

Work Step by Step

$(4\sqrt{5}+\sqrt2)(4\sqrt{5}-\sqrt2)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(4\sqrt{5}\times4\sqrt{5})+(4\sqrt5\times(-\sqrt2))+(4\sqrt5\times\sqrt2)+(\sqrt2\times(-\sqrt2))$ Simplify. $80-4\sqrt{10}+4\sqrt{10}-2$ Combine like terms/like radicals. $78$
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