# Just an angle 2

**Geometry**Level 4

Refer to the above figure. You are given \(\angle APB=60^{\circ}\).

If \(\large{3AP+2PB= \sqrt{\frac{E}{F}}}\), where \(E,F\) are co-prime integers, find \(E+F\).

If \(\large{3AP+2PB= \sqrt{\frac{E}{F}}}\), where \(E,F\) are co-prime integers, find \(E+F\).

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