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)=√((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)=√((3-1)^2+(11-5)^2)`

`Distance(d)=√((2)^2+(6)^2)`

`Distance(d)=√(4+36)`

`Distance(d)=√(40)`

We can simplify this radical.

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