find the distance between the two points in simplest radical form

Question

find the distance between the points in simplest radical form (-8,-2) (-6,2)

Answer 1

If you have two point of the form(x_1,y_1) and (x_2,y_2) then the distance between these points is d=√(x_1-x_2)^2+(y_1-y_2)^2

In this case:

d=√(-8-(-6))^2+(-2-2)^2

d=√(-8+6)^2+(-4)^2

d=√(-2)^2+16

d=√4+16

d=√20

d=2√5