Question

Find the distance between the two points in simplest radical form (3,-6) and (-1,-8)

Answer 1

2
`√(5)`

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (3, - 6) and (x₂, y₂ ) = (- 1, - 8)

d =
`√((-1-3)^2+(-8+6)^2)`

=
`√((-4)^2+(-2)^2)`

=
`√(16+4)`

=
`√(20)`

=
`√(4(5))`

=
`√(4)` ×
`√(5)`

= 2
`√(5)`

Answer 2

2√5

Explanation: