Respuesta :

Answer:

3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (5, 5)

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

  = [tex]\sqrt{3^2+3^2}[/tex] = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] ← exact value