Given:
points (8,4) and (10,8)
Using the distance formula, and the given two points, we have the following:
[tex]\begin{gathered} (x_1,y_1)=(8,4) \\ (x_2,y_2)=(10,8) \\ \\ d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2} \\ d = \sqrt {(10 - 8)^2 + (8 - 4)^2} \\ d = \sqrt {{4} + {16}} \\ d = \sqrt {20} \\ d=\sqrt{4\cdot5} \\ d=2\sqrt{5} \\ \\ \text{Therefore, the distance between the two points is }2\sqrt{5}. \end{gathered}[/tex]