What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid ?

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What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid ?

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    2021-09-09T15:25:21+00:00

    \bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ %  (a,b) &&(~ -3 &,& -4~)  %  (c,d) &&(~ -8 &,& 1~) \end{array} \\\\\\ d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2} \\\\\\ d=\sqrt{(-5)^2+5^2}\implies d=\sqrt{50}\implies d=\sqrt{25\cdot 2}\implies d=\sqrt{5^2\cdot 2} \\\\\\ d=5\sqrt{2}

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