Question

Find the distance between the two points in simplest radical form (-8,-4) (0,-8).

Answer 1

Answer: Distance = 4√5

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (-8, -4)

(x₂, y₂) = (0, -8)

Given equation

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute values into the equation

$Distance=\sqrt{(0+8)^2+(-8+4)^2}$

Simplify values in the parentheses through addition

$Distance=\sqrt{(8)^2+(-4)^2}$

Simplify exponents

$Distance=\sqrt{64+16}$

Simplify by addition

$Distance=\sqrt{80}$

Simplify the radical value into the simplest form

$Distance=4\sqrt{5}$

Hope this helps!! :)

Please let me know if you have any questions