Question

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

(-9, 8) and (-3,-1)
Answer:

Answer 1

3
`√(13)`

Explanation:

Calculate the distance using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)

d =
`√((-3-(-9))^2+(-1-8)^2)`

=
`√((-3+9)^2+(-9)^2)`

=
`√(6^2+81)`

=
`√(36+81)`

=
`√(117)`

=
`√(9(13))`

=
`√(9)` ×
`√(13)`

= 3
`√(13)`