Answer
$\lim\limits_{x \to 1}{\sqrt {5x+6}}=\sqrt {11}$
Work Step by Step
$\lim\limits_{x \to 1}{\sqrt {5x+6}}=\sqrt {\lim\limits_{x \to 1}{(5x+6)}}=\sqrt {\lim\limits_{x \to 1}{5x}+6}=\sqrt {5\times\lim\limits_{x \to 1}{x}+6}=\sqrt {5\times1+6}=\sqrt {11}$
