Answer
$5$
Work Step by Step
To find the limit, we apply the rule:
$\lim\limits_{x \to a} \sqrt {A(x)}= \sqrt {\lim\limits_{x \to a} \ A(x)}$
$\lim\limits_{x \to -6} \sqrt {7-3x}=\sqrt{ \lim\limits_{x \to -6} (7-3x)} \\=\sqrt {7-(3)(-6)} \\=\sqrt {25}\\=5$
