Math, Mathematics, Numerical Analysis, Science.
√p=2.6457513111…) and d=0.4 and starting from N₀=1 and D₀=0.4, our first approximation (1/0.4=2.64…) has 3 digits’ precision; two iterations later, we have 30.52/11.536=2.64575… with 6 digits’ precision, and after two more iterations we get to 905.128/342.10624=2.64575131… with 9 digits’ precision.