# Devilish fun

Algebra Level 4

The product of the real roots of the polynomial

$f(x) = x^4 - 4x^3 + 6x^2 -4x-666$

can be written as $$a - \sqrt{b}$$, where $$a$$ and $$b$$ are positive integers. What is the value of $$a+b$$?

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