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) )^2 =
(1369 + 1480sqrt (3) + 400*3 ) =
(1369 + 1480sqrt 3 + 1200) =
2569 + 1480sqrt (3)
(a , b) = ( 2569 , 1480 )
