Answer
$2\sqrt{3}$
Work Step by Step
Simplify the expression $\sqrt{8}-2\sqrt{2}+\sqrt{12}$,
$\begin{align}
& \sqrt{8}-2\sqrt{2}+\sqrt{12}=\sqrt{4\times 2}-2\sqrt{2}+\sqrt{4\times 3} \\
& =2\sqrt{2}-2\sqrt{2}+2\sqrt{3}
\end{align}$
Subtract the like terms,
$\sqrt{8}-2\sqrt{2}+\sqrt{12}=2\sqrt{3}$
Thus, the expression $\sqrt{8}-2\sqrt{2}+\sqrt{12}$ can be simplified as $2\sqrt{3}$
