Let a=sqrt(57+40sqrt2)-sqrt(57-40sqrt2) ...

Let `a=sqrt(57+40sqrt2)-sqrt(57-40sqrt2)` and `b=sqrt(25^(1/(log_8(5)))+49^(1/(log_6(7))` and c is the value of `x^3-3x-14` where `x=(7+5sqrt2)^(1/3)-1/(7+5sqrt2)^(1/3)`. Find the value of `(a+b+c)`

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