Question

What is the distance between the two points in simplest radical form? P(2,8) and B(1,3)

Answer 1

`√(26)`

Explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = P(2, 8) and (x₂, y₂ ) = B(1, 3)

`d_(PB)` =
`√((1-2)^2+(3-8)^2)`

=
`√((-1)^2+(-5)^2)` =
`√(1+25)` =
`√(26)`