# Fractal from Sqrt!

Algebra Level 3

$\Large a + \dfrac b{c + \dfrac d{a + \dfrac b{c+\dfrac d{a + \dfrac b{\ddots}}}}} = \sqrt 6$

The equation above holds true for some positive integers $$a$$, $$b=1$$, $$c$$, and $$d$$. Find $$a + b + c + d$$.

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