Answer:
A
Step-by-step explanation:
To calculate the distance d use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(3, 1) and (x₂, y₂ ) = B(5, 3)
AB = [tex]\sqrt{(5-3)^2+(3-1)^2}[/tex]
= [tex]\sqrt{2^2+2^2}[/tex]
= [tex]\sqrt{4+4}[/tex]
= [tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = 2[tex]\sqrt{2}[/tex] → A
