Long way to reach the solution.

After simplifying ,

$\cfrac { 3\quad +\quad \sqrt { 7 } }{ 3\quad -\quad \sqrt { 8\quad } }$

The solution comes in the form of,

$a\quad +\quad b\sqrt { 2 } +c\sqrt { 7 } +d\sqrt { 14 }$

Then write the answer in,

$(a+b)^{ 2 }+(c+d)^{ 2 }+(d-c)^{ 2 }+(b-a)^{ 2 }+abcd+a^{ 2 }+b^{ 2 }+c^{ 2 }+d^{ 2 }$