Suppose \(\sqrt[2016]{\sqrt[2015]{\sqrt[...]{\sqrt[3]{\sqrt{x}}}}}=x^2-y\),
for \(x,y\in \mathbb{Z},\)
for \(x \ge 0\)
Find the number of possible values for x+y.
Edit: accidently created duplicate.
Already answered, since X and Y are undefined, Infinite amount of positive answers such that a negative cannot be under a square root.