Question

Distiance between (-8,-2) and (6,-1) as a radical (square root).

Answer 1

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~6 - (-8)~~)^2 + (~~-1 - (-2)~~)^2} \implies d=\sqrt{(6 +8)^2 + (-1 +2)^2} \\\\\\ d=\sqrt{( 14 )^2 + ( 1 )^2} \implies d=\sqrt{ 196 + 1 } \implies d=\sqrt{ 197 }$