Is this more self-destructive?

Calculus Level pending

\[ \large \sum_{x=0}^\infty \dfrac{ (2x)! (5^x + 6^x) }{x!^2 \cdot 60^x } \]

If the value of the series above is in the form of \( \dfrac{\sqrt a + \sqrt b}6 \), where \(a\) and \(b\) are positive integers, find \(a+b\).

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