[tex]
a = \sqrt{2} \times ( \frac{4}{ \sqrt{3} } + \sqrt{2} ) + 2[/tex]
[tex]a = \sqrt{2} ( \frac{4 \sqrt{3} }{3} + \frac{3 \sqrt{2} }{3} ) + 2[/tex]
[tex]a = \frac{4 \sqrt{6} }{3} + 2 + 2[/tex]
[tex]a = \frac{4 \sqrt{6} }{3} + 4[/tex]
[tex]a = \frac{4( \sqrt{6} + 3) }{3} [/tex]