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: 56



Work Step by Step

$(7-2\sqrt7)(5-3\sqrt7)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(7\times5)+(7\times(-3)\sqrt7)+(5\times(-2)\sqrt7)+((-2)\sqrt7\times(-3)\sqrt7)$ Simplify. $35-21\sqrt7-10\sqrt7+42$ Combine lik terms/like radicals. $77-31\sqrt7$
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