Question

Find the distance between the two points in simplest radical form.
(-1,0) (8,-5)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([8 - (-1)]^2 + [-5 - 0]^2)\implies d = √((8+1)^2+(-5)^2) \\\\\\ d = √(81+25)\implies d = √(106)`