Question

What is the distance between two points in simplest radical form.

Answer 1

`\sf √(13)` units

Explanation:

Given points are:

(-7,0) and (-4,-2)

To find:

The distance between two points

Solution:

The distance between two points can be found using the distance formula:

`\sf d =√((x_2 - x_1)^2 + (y_2 - y_1)^2)`

where d is the distance between the two points, (x1, y1) are the coordinates of the first point, and (x2, y2) are the coordinates of the second point.

In this case, the points are (-7, 0) and (-4, -2). So, we can find the distance between them as follows:

`\sf d = √((-4 - (-7))^2 + ((-2) - 0)^2)`

`\sf d = √((3)^2 + (-2)^2)`

`\sf d = √(13)\textsf{ in simplest radical form}`

Therefore, the distance between the two points is:

`\sf √(13)` units