e00d945a-43c6-418c-a3d1-9144737627b8 2 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

"Heron" sqrt(x) as function x ε SQRT k 0 : 11 mat r x 2 / : r 2^x - abs ε > r r 2 / x 2 r * / + : k k 1 + : 21 line while r k 21 mat 41 line :

x 10 : ε 109 -^: 12 mat

71 sqrt 647 + sqrt ≡

x sqrt x ε SQRT 1 el x ε SQRT 2 el 31 mat 3.16227766016838 3.16227766016837 531 mat

812 / 78 / * + 8.44

71 sqrt 8.4261

1 0.23456789 + sqrt 112 / 0.23456789 * + ≡

112 / 0.23456789 * + 1.1173

x 1.23456789 :

x sqrt 1.11111110605556

r x 2 / : 0.6173

r r 2 / x 2 r * / + : 1.3086

r r 2 / x 2 r * / + : 1.126

r r 2 / x 2 r * / + : 1.1112

r r 2 / x 2 r * / + : 1.111111110438

r r 2 / x 2 r * / + : 1.11111110605555