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: 72

Answer

$-39$

Work Step by Step

$(5\sqrt{3}+6)(5\sqrt{3}-6)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(5\sqrt{3}\times5\sqrt{3})+(-6\times5\sqrt3)+(6\times5\sqrt3)+(6\times(-6))$ Simplify. $75-30\sqrt{3}+30\sqrt{3}-36$ Combine like terms/like radicals. $-39$
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