Long way to reach the solution.

Algebra Level 3

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,

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

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