Long way to reach the solution.

Algebra Level 3

After simplifying ,

3+738\cfrac { 3\quad +\quad \sqrt { 7 } }{ 3\quad -\quad \sqrt { 8\quad } }

The solution comes in the form of,

a+b2+c7+d14a\quad +\quad b\sqrt { 2 } +c\sqrt { 7 } +d\sqrt { 14 }

Then write the answer in,

(a+b)2+(c+d)2+(dc)2+(ba)2+abcd+a2+b2+c2+d2(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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