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: 58

Answer

$34-10\sqrt{10}$

Work Step by Step

$(\sqrt{10}-4)(\sqrt{10}-6)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(\sqrt{10}\times\sqrt{10})+(-6\times\sqrt{10})+(-4\times\sqrt{10})+(-4\times(-6))$ Simplify. $10-6\sqrt{10}-4\sqrt{10}+24$ Combine like terms/like radicals. $34-10\sqrt{10}$
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