Express \(\dfrac{6}{\sqrt{245}+3\sqrt{125}+4\sqrt{45}}\) in the form \(\frac{A\sqrt{B}}{C}\) where A and C are relatively prime integers, C is positive, and B is not divisible by the square of any prime. Find A+B+C .
6
7 sqrt5 + 15 sqrt5 + 12 sqrt5
34 sqrt 5
3* sqrt5/85
+678 
