Question

Find the distance between the two points in simplest radical form.
(9,-4) and (5,3)

Answer 1

`√(65)`

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ( = (9, - 4) and (x₂, y₂ ) = (5, 3)

d =
`√((5-9)^2+(3-(-4))^2)`

=
`√((-4)^2+(3+4)^2)`

=
`√(16+7^2)`

=
`√(16+49)`

=
`√(65)`