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: 77



Work Step by Step

$(\sqrt x-\sqrt{10})^2$ $(\sqrt{x}-\sqrt{10})(\sqrt{x}-\sqrt{10})$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(\sqrt{x}\times\sqrt{x})+(-\sqrt{10}\times\sqrt x)+(-\sqrt{10}\times\sqrt x)+(-\sqrt{10}\times-(\sqrt {10}))$ Simplify. $x+(-\sqrt{10x})+(-\sqrt{10x})+10$ Combine like terms/like radicals. $x-2\sqrt{10x}+10$
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