The point A(-2, 3) is translated using T: (x,y) → (x + 4, y + 2).
What is the distance from A to A'?
square root 6
2 square root 2
5
2 square root 5
(-2,3) -> (2,5)
now just use the Pythagorean Theorem to figure the distance. I think you'll get 2√5