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Square Roots with Newton's Method

​
square root of
2
number of iterations
6
number of decimal places
5
10
20
50
2.0000000000000000000000000000000000000000000000000
1.5000000000000000000000000000000000000000000000000
1.4166666666666666666666666666666666666666666666667
1.4142156862745098039215686274509803921568627450980
1.4142135623746899106262955788901349101165596221157
1.4142135623730950488016896235025302436149819257762
1.4142135623730950488016887242096980785696718753772
Estimate square roots using Newton's method to varying accuracy by controlling the number of iterations and the precision of the estimates. Successively better estimations are shown.
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