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