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: 55



Work Step by Step

$(6-3\sqrt7)(2-5\sqrt7)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(6\times2)+(6\times(-5)\sqrt7)+(2\times(-3)\sqrt7)+((-3)\sqrt7\times(-5)\sqrt7)$ Simplify. $12-30\sqrt7-6\sqrt7-105$ Combine lik terms/like radicals. $-93-36\sqrt7$
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