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: 122

Answer

$$-6x\sqrt{x+5}$$

Work Step by Step

In order to simplify the expression, we first simplify each of the terms, and then we combine like terms. Doing this, we find: $$ \sqrt{20x^2+4x^3}-3x\sqrt{45+9x}+\sqrt{5x^2+x^3}\\ 2x\sqrt{x+5}-9x\sqrt{x+5}+x\sqrt{x+5}\\ -6x\sqrt{x+5}$$
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