[tex] \frac{1}{ \sqrt{3} } +2+ \frac{1}{ \sqrt{2} } + \sqrt{3} + \frac{1}{1+ \sqrt{2} } = \\ \frac{ \sqrt{3} }{3} +2+ \frac{ \sqrt{2} }{2} + \sqrt{3} + \frac{1- \sqrt{2} }{(-1)} = \\ \frac{2 \sqrt{3} +12+3 \sqrt{2} +6 \sqrt{3} -6(1- \sqrt{2} )}{6} = \frac{8 \sqrt{3}+9 \sqrt{2}-6 }{6} [/tex]