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 $\text{
FALSE
.}$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
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 - Page 647: 2
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