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@Ultrilliam
The distance d between the points \[(x _{1},y _{1})=(1,7) and (x _{2},y _{2})=(3,1)\] is given by, \[d=\sqrt{(x _{1}-x _{2})^{2}+(y _{1}-y _{2})^{2}},\] \[=\sqrt{(1-3)^{2}+(7-1)^{2}},\] \[=\sqrt{(-2)^{2}+(6)^{2}},\] \[=\sqrt{4+36}=\sqrt{40}=2\sqrt{10}\approx6.325.\]
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