Wanda is trying to locate the Fermat point P of △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 △ABC. If she obtains m+n√5, where m and n are integers, what is m+n?

Guest Jun 29, 2020