# Square it later

Algebra Level 4

$x^{4}+\sqrt{x^{2}+2016}=2016$ The above equation has 1 positive real solution which can be written as $$\sqrt{\dfrac{\sqrt{a}-b}{c}}$$, where $$a,b,c$$ are positive integers with $$a$$ square-free. Find the value of $$\dfrac{a+b+c}{c^{c}}$$

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