## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

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 $\text{ FALSE .}$