Positive Integer Sum
If $ A $, $ B $ and $ C $ are positive integers such that $ \frac{A\sqrt{B}}{C} = \frac{8}{3\sqrt{2}} $, what is the value of $ A+B+C $ given that $ A $ and $ C $ have no common prime factors, and $ B $ has no perfect-square factors other than 1?
- 1
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- $\frac{a}{b}$
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- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
- $($
- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$