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: 73

Answer

7

Work Step by Step

$(2\sqrt{3}+\sqrt5)(2\sqrt{3}-\sqrt5)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(2\sqrt{3}\times2\sqrt{3})+(2\sqrt3\times(-\sqrt5))+(2\sqrt3\times\sqrt5)+(\sqrt5\times(-\sqrt5))$ Simplify. $12-2\sqrt{15}+2\sqrt{15}-5$ Combine like terms/like radicals. $7$
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