Answer
FALSE
Work Step by Step
If $a=1$ and $b=1,$ then the expression $\sqrt{a+b}=\sqrt{1+1}=\sqrt{2},$ while the expression $\sqrt{a}+\sqrt{b}=\sqrt{1}+\sqrt{1}=1+1=2.$ Hence, the given statement is $\text{
FALSE
.}$
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