Question

Find the distance between the two points in simplest radical form.
(8, -4) and (3, 8)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{8}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{8})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~3 - 8~~)^2 + (~~8 - (-4)~~)^2) \implies d=√((3 -8)^2 + (8 +4)^2) \\\\\\ d=√(( -5 )^2 + ( 12 )^2) \implies d=√( 25 + 144 ) \implies \boxed{d=√( 169 )}\implies d=13`