[tex]( \sqrt{3} - \sqrt{2} + \sqrt{24} -3): \sqrt{12} =\\
=( \sqrt{3} - \sqrt{2} + 2\sqrt{6} -3): 2\sqrt{3}=\\
= \frac{\sqrt{3} - \sqrt{2} + 2\sqrt{6} -3}{2\sqrt{3}} =\\
= \frac{\sqrt{3}}{2\sqrt{3}} - \frac{\sqrt{2} }{2\sqrt{3}} + \frac{2\sqrt{6}}{2\sqrt{3}} - \frac{3}{2\sqrt{3}} =\\
= \frac{1}{2} - \frac{ \sqrt{6} }{6} + \sqrt{2} - \frac{ \sqrt{3} }{2} [/tex]