Question

Find the distance between the two points in simplest radical form.

A) √145
B) √100
C) √26
D) √45

Answer 1

The distance between the two points (-8, 3) and (-2, -5) in simplest radical form is: B) √100.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

`Distance = √((x_2-x_1)^2 + (y_2-y_1)^2)`

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points (-8, 3) and (-2, -5) into the distance formula, we have the following;

`Distance = √((x_2-x_1)^2 + (y_2-y_1)^2)\\\\Distance = √((-2-(-8))^2 + (-5-3)^2)\\\\Distance = √((-2+ 8)^2 + (-5-3)^2)\\\\Distance = √((6)^2 + (-8)^2)\\\\Distance = √(36 + 64)\\\\Distance = √(100)\rightarrow \;(simplest \;radical\; form)`

Distance = 10 units.

Complete Question;

Find the distance between the two points in simplest radical form.

(-8, 3) and (-2, -5)

A) √145

B) √100

C) √26

D) √45