# What Happened to Christmas?

Algebra Level 3

If

$\sqrt{12 + 25\sqrt{12 + 25\sqrt{12 + 25\cdots}}} = \frac{a + \sqrt{b}}{c},$

for positive integers $$a, b,$$ and $$c$$ such that $$b$$ is not divisible by the square of any prime, find $$a+b+c.$$

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