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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 .

 Sep 8, 2020
 #1
avatar+26806 
0

                          6                    

 7 sqrt5  + 15 sqrt5  + 12 sqrt5

 

                          6                   

                  34 sqrt 5

 

3* sqrt5/85  

 Sep 8, 2020

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