[tex] {( \sqrt{2} - \sqrt{3} )}^{2} - ( \sqrt{2} - \sqrt{1} )( \sqrt{2} + \sqrt{1} ) + \sqrt{24} [/tex]
[tex] = 2 - 2 \sqrt{6} + 3 - ( \sqrt{2} - 1)( \sqrt{2} + 1) + 2 \sqrt{6} [/tex]
[tex] = - 2 \sqrt{6} + 2 \sqrt{6} + 2 + 3 - (2 - 1)[/tex]
[tex] = 5 - 1[/tex]
[tex] = 4[/tex]