How about 4, 5, 6?

ab+56ab56=4\sqrt { ab+56 } -\sqrt { ab-56 } =4

If all the nn pairs of positive integers (a,b)(a,b) that satisfy the equation above are

(a1,b1),(a2,b2),,(an,bn), (a_1 ,b_1) , (a_2, b_2) , \ldots , (a_n, b_n) ,

submit your answer as i=1naibi\displaystyle \sum _{ i=1 }^{ n }{ a_{ i }b_{ i } } .

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