\( = {{3\sqrt 2 (\sqrt 6 - \sqrt 3 )} \over {6 - 3}} - {{4\sqrt 3 \,(\sqrt 6 - \sqrt 2 )} \over {6 - 2}} + {{\sqrt 6 (\sqrt 3 - \sqrt 2 )} \over {3 - 2}}\)
\( = \sqrt 2 \,(\sqrt 6 - \sqrt 3 ) - \sqrt 3 \,(\sqrt 6 - \sqrt 2 ) + \sqrt 6 (\sqrt 3 - \sqrt 2 )= 0.\)