Respuesta :

Answer:

[tex]\sqrt{26}[/tex]

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)

[tex]d_{PB}[/tex] = [tex]\sqrt{(1-2)^2+(3-8)^2}[/tex]

                          = [tex]\sqrt{(-1)^2+(-5)^2}[/tex] = [tex]\sqrt{1+25}[/tex] = [tex]\sqrt{26}[/tex]