Question

Find AB if A(2,5) and B(6,-1). Leave answer in reduced form. Show your work

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{6}~,~\stackrel{y_2}{-1})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√((~~6 - 2~~)^2 + (~~-1 - 5~~)^2)\implies AB=√( (4)^2 + (-6)^2) \\\\\\ AB=√( 16 + 36)\implies AB=√( 52 )\implies AB=√(2^2\cdot 13)\implies AB=2√(13)`