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]