[tex] \frac{ \sqrt{6}- \sqrt{3}- \sqrt{2}+1 }{ \sqrt{10}- \sqrt{5}+ \sqrt{2}-1 } = \frac{ \sqrt{3}( \sqrt{2}-1)-( \sqrt{2}-1 ) }{ \sqrt{5}( \sqrt{2}-1)-( \sqrt{2}-1 ) }= \frac{( \sqrt{2}-1)( \sqrt{3}-1) }{ (\sqrt{2}-1)(( \sqrt{5}-1) } = \frac{ \sqrt{3}-1 }{ \sqrt{5}-1 } [/tex]
