# Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 647: 2

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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