Question

find the distance between the points ( 1, 5 ) and ( 3, 11 ) in simplest radical form

Answer 1

Answer & Step-by-step explanation:

First, we need to know the formula for finding the distance between the two points.

$Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Next, we plug in our coordinate points to their respectful places and solve for the distance.

$Distance(d)=\sqrt{(3-1)^2+(11-5)^2}$

$Distance(d)=\sqrt{(2)^2+(6)^2}$

$Distance(d)=\sqrt{4+36}$

$Distance(d)=\sqrt{40}$

We can simplify this radical.

So, the distance between the two points in the simplest radical form is 2√10