Wanda is trying to locate the fermat point p of triangle abc, where a is at the origin, b is at (8,-1), and c is at (5,4) (the fermat point is the point such that the sum of its distances from the vertices of a triangle is minimized). she guesses that the point is at p = (4,2), and computes the sum of the distances from p to the vertices of $\triangle abc$. if she obtains m + n\sqrt{5},
where m and n are integers, what is m + n?