[tex] | \sqrt{2} - \sqrt{3} | = - ( \sqrt{2} - \sqrt{3} ) = - \sqrt{2} + \sqrt{3} = \sqrt{3} - \sqrt{2} [/tex]
[tex] | - \sqrt{2} - \sqrt{3} | = | - ( \sqrt{2} + \sqrt{3} )| = \sqrt{2} + \sqrt{3} [/tex]
[tex] |2 - \sqrt{6} | = - (2 - \sqrt{6} ) = - 2 + \sqrt{6} = \sqrt{6} - 2[/tex]
[tex] |3 - \sqrt{6} | = 3 - \sqrt{6} [/tex]
[tex] | \sqrt{15} - 4| = - ( \sqrt{15} - 4) = - \sqrt{15} + 4 = 4 - \sqrt{15} [/tex]
[tex] | \sqrt{15} + 4 | = \sqrt{15} + 4[/tex]
[tex] |4 - \sqrt{15} | = 4 - \sqrt{15} [/tex]
