Question

Find the distance between the two points in simplest radical form.
(-4, -6) and (2, -1)

Answer 1

The distance between the two points is
`√(61)`

Step-by-step explanation:

Given that the two points are
`(-4,-6)` and
`(2,-1)`

We need to determine the distance between the two points in simplest radical form.

The distance between the two points can be determined using the

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Let us substitute the coordinates
`(-4,-6)` and
`(2,-1)` in the above formula, we get,

`d=√((2+4)^2+(6+1)^2)`

Simplifying the terms, we get,

`d=√((6)^2+(7)^2)`

Squaring the terms, we get,

`d=√(36+49)`

Adding, we get,

`d=√(85)`

Simplifying, we have,

`√(61)`

Thus, the distance between the two points in simplest radical form is
`√(61)`