Answer:
The answer is
[tex] \sqrt{74} \: \: \: \: units \\ [/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5, 3) and (-2, 8)
The distance between them is
[tex] d = \sqrt{( {5 + 2})^{2} + ( {3 - 8})^{2} } \\ = \sqrt{ {7}^{2} + ({ - 5})^{2} } \\ = \sqrt{49 + 25} \\ = \sqrt{74} \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
[tex] \sqrt{74} \: \: \: \: units \\ [/tex]
Hope this helps you
