\(1,\\ a,=2\sqrt{3}+12\sqrt{3}-6\sqrt{3}-2\sqrt{3}=6\sqrt{3}\\ b,=3-\sqrt{7}-\sqrt{\left(2+\sqrt{7}\right)^2}=3-\sqrt{7}-2-\sqrt{7}=1-2\sqrt{7}\\ c,=2\sqrt{5}+\dfrac{8\left(3-\sqrt{5}\right)}{4}-\dfrac{\sqrt{5}\left(\sqrt{3}-2\right)}{\sqrt{3}-2}=2\sqrt{5}+6-2\sqrt{5}-\sqrt{5}=6-\sqrt{5}\)
\(2,\\ 1,PT\Leftrightarrow\left|5x-1\right|=4\Leftrightarrow\left[{}\begin{matrix}5x-1=4\\1-5x=4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{3}{5}\end{matrix}\right.\\ 2,ĐK:x\ge-5\\ PT\Leftrightarrow2\sqrt{x+5}+\sqrt{x+5}-\dfrac{1}{3}\cdot3\sqrt{x+5}=4\\ \Leftrightarrow\sqrt{x+5}=2\Leftrightarrow x+5=4\Leftrightarrow x=-1\left(tm\right)\)