解:$ (1) $原式$=2-\sqrt {3}-(-1×2 +1×\sqrt {3} +2\sqrt {3} - (\sqrt {3})^2)$
$=2-\sqrt {3}-(-2+3\sqrt {3}-3)$
$=2-\sqrt {3}-3\sqrt {3}+5$
$=7-4\sqrt {3}$
$(2) $原式$=\sqrt {24×3}-\sqrt {6×3}-\frac {6\sqrt {2}}{\sqrt {2}×\sqrt {2}}-(2+2\sqrt {2}+1)$
$=6\sqrt {2}-3\sqrt {2}-3\sqrt {2}-3-2\sqrt {2}$
$=-3-2\sqrt {2}$