Step 1 :Find the distance between points A and B using the distance formula: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
Step 2 :Plug in the coordinates of A (1, 0) and B (5, 2) into the formula: \(d = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{16 + 4} = \sqrt{20}\)
Step 3 :Simplify the final answer: \(d = 2\sqrt{5}\approx 4.5\)
Step 4 :\(\boxed{4.5}\)