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 = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~6 - (-8)~~)^2 + (~~-1 - (-2)~~)^2) \implies d=√((6 +8)^2 + (-1 +2)^2) \\\\\\ d=√(( 14 )^2 + ( 1 )^2) \implies d=√( 196 + 1 ) \implies d=√( 197 )`