Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.5 Expressions Containing Several Radical Terms - 10.5 Exercise Set - Page 662: 135

Answer

$$2x-2\sqrt{x^2-4}$$

Work Step by Step

Simplifying the expression using the rules of radicals, we obtain: $$ \left(\sqrt{x+2}-\sqrt{x-2}\right)^2\\ \left(\sqrt{x+2}\right)^2-2\sqrt{x+2}\sqrt{x-2}+\left(\sqrt{x-2}\right)^2\\ 2x-2\sqrt{x^2-4}$$
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