The distance between the points G(5, 4) and H(2, 6) can be calculated using the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) = (5, 4) and (x2, y2) = (2, 6)

Distance = sqrt((2 - 5)^2 + (6 - 4)^2)           = sqrt((-3)^2 + (2)^2)           = sqrt(9 + 4)           = sqrt(13)

So, the distance between G(5, 4) and H(2, 6) is sqrt(13) or approximately 3.61 units.