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: 71



Work Step by Step

$(2\sqrt{3}+7)(2\sqrt{3}-7)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(2\sqrt{3}\times2\sqrt{3})+(-7\times2\sqrt3)+(7\times2\sqrt3)+(7\times(-7))$ Simplify. $12-14\sqrt{3}+14\sqrt{3}-49$ Combine like terms/like radicals. $-37$
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