Answer & Step-by-step explanation:
First, we need to know the formula for finding the distance between the two points.
[tex]Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Next, we plug in our coordinate points to their respectful places and solve for the distance.
[tex]Distance(d)=\sqrt{(3-1)^2+(11-5)^2}[/tex]
[tex]Distance(d)=\sqrt{(2)^2+(6)^2}[/tex]
[tex]Distance(d)=\sqrt{4+36}[/tex]
[tex]Distance(d)=\sqrt{40}[/tex]
We can simplify this radical.
So, the distance between the two points in the simplest radical form is 2√10
