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With usual notations in Delta ABC ,let /...

With usual notations in `Delta ABC` ,let `/_A=60^(0)` and `b` ,`c` are roots of the equation `x^(2)-2sqrt(3)x+1=0.` If the value of `sum(a+b) cos C` equals `p+2sqrt(q)`, where `p,q in N,` then find the value of `(p+q)`

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