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 - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set: 2

Answer

FALSE

Work Step by Step

Let $a=4$ and $b=9.$ Then $\sqrt{a}+\sqrt{b}$ is $2+3=5, $ while $\sqrt{a+b}$ is $\sqrt{13}.$ These are not equal, so the given statement is $\text{ FALSE .}$
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