Inspired by Lakshya Sinha

Algebra Level 3

\[ \large a^2 +b^2+c^2+d^2\]

If \(a,b,c\) and \(d\) are positive reals satisfying \(a^{2016}+b^{2016}+c^{2016}+d^{2016}=4032\), maximize the expression above to 3 decimal places

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