Find it!

Algebra Level 3

\[ \large \sqrt{34 + 24\sqrt{2}}\]

The above expression can be written in the form \(a + b\sqrt{c}\), where \(a,b\) and \(c\) are positive integers with \(c\) square-free. Find \(a+b+c\).


This is one part of the set Fun with exponents
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