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

User Caresse
by
8.6k points

1 Answer

6 votes

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)

User Muju
by
7.6k points

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