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Refer to the above figure. You are given ∠APB=60∘\angle APB=60^{\circ}∠APB=60∘.
If 3AP+2PB=EF\large{3AP+2PB= \sqrt{\frac{E}{F}}}3AP+2PB=FE, where E,FE,FE,F are co-prime integers, find E+FE+FE+F.
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