Given:
The two points are (-5,8) and (-3,1).
To find:
The distance between the given two points in simplest radical form.
Solution:
Distance formula: The distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between (-5,8) and (-3,1) is
[tex]d=\sqrt{(-3-(-5))^2+(1-8)^2}[/tex]
[tex]d=\sqrt{(-3+5)^2+(-7)^2}[/tex]
[tex]d=\sqrt{(2)^2+(-7)^2}[/tex]
[tex]d=\sqrt{4+49}[/tex]
[tex]d=\sqrt{53}[/tex]
Therefore, the distance between two points (-5,8) and (-3,1) is [tex]\sqrt{53}[/tex] units.
