[tex] \sqrt{2}( \sqrt{2} + \sqrt{3}) - \sqrt{3}(2 \sqrt{3} + \sqrt{3}) = \\ \\ \sqrt{2}( \sqrt{2} + \sqrt{3}) - \sqrt{3} \times 3 \sqrt{3} = \\ \\ \sqrt{2}( \sqrt{2} + \sqrt{3}) - 3 \sqrt{3 \times 3} = \\ \\ \sqrt{2}( \sqrt{2} + \sqrt{3}) - 3 \sqrt{9} = \\ \\ \sqrt{2}( \sqrt{2} + \sqrt{3}) - 3 \times 3 = \\ \\ \sqrt{2}( \sqrt{2} + \sqrt{3}) - 9 = \\ \\ 2 + \sqrt{6} - 9 = \\ \\ - 7 + \sqrt{6} [/tex]
