1. The problem statement, all variables and given/known data A distance R is measured to be 4.000±0.002 m What is the relative uncertainty in the square root of R? 2. Relevant equations Relative uncertainty is the ratio of the absolute uncertainty of a measurement to the best estimate. It expresses the relative size of the uncertainty of a measurement (its precision). relative uncertainty = absolute uncertainty / best estimate of value x 100%. So the abosulute is 0.002, where estimated value of R is 4 m 3. The attempt at a solution all I got is that the square root of R is 2 m, but relative uncertainity of R is 0.002 / 4, however when I square root R, I don't know how I reflect the change in the +-0.002 m.