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: 57

Answer

$25-8\sqrt{10}$

Work Step by Step

$(\sqrt{10}-3)(\sqrt{10}-5)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(\sqrt{10}\times\sqrt{10})+(-5\times\sqrt{10})+(-3\times\sqrt{10})+(-3\times(-5))$ Simplify. $10-5\sqrt{10}-3\sqrt{10}+15$ Combine lik terms/like radicals. $25-8\sqrt{10}$
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