Question

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

Answer 1

Answer:

$\sqrt{26}$

Step-by-step 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)

$d_{PB}$ = $\sqrt{(1-2)^2+(3-8)^2}$

                          = $\sqrt{(-1)^2+(-5)^2}$ = $\sqrt{1+25}$ = $\sqrt{26}$