# Sum of Squares

Level pending

If $$4cos \frac{\pi}{5} + cot \frac{\pi}{24}$$ = $$\sqrt{n_1} + \sqrt{n_2} + \sqrt{n_3} + \sqrt{n_4} + \sqrt{n_5} + \sqrt{n_6}$$,

find $$\sum_{i=1}^6 n^{2}_i$$.

$$Note$$ : $$All$$ $$n_i$$$$'s$$ $$are$$ $$natural$$ $$numbers.$$

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