Find positive integers (a,b) so that (37 + 20*sqrt(3))^2 = a + b*sqrt3. Answer in the form of "a, b".
(37 + 20sqrt (3)) (37 + 20 sqrt (3) ) =
1369 + 2*37*20sqrt (3) + 400 * 3 =
1369 + 1480sqrt (3) + 1200 =
2569 + 1480sqrt (3)
(a, b) = (2569 , 1480)