Question

Find the distance between the points (8, 4) and (10, 8)Write your answer as a whole number or a fully simplified radical expression. Do not round.

Answer 1

Given:

points (8,4) and (10,8)

Using the distance formula, and the given two points, we have the following:

`\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=√(4\cdot5) \\ d=2√(5) \\ \\ \text{Therefore, the distance between the two points is }2√(5). \end{gathered}`