Talk:Square root algorithms: Difference between revisions

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[[Special:Contributions/2601:14F:8006:2580:1948:BAF5:8A41:1D72|2601:14F:8006:2580:1948:BAF5:8A41:1D72]] ([[User talk:2601:14F:8006:2580:1948:BAF5:8A41:1D72|talk]]) 13:23, 4 May 2017 (UTC)
 
== simple argument for sqrt(S) = average(S/x, x)
 
A simple argument for the iteration of sqrt(S) would be that the correct answer with a good guess x_n would lie between x_n and S/x_n. So why not choose the average as x_{n+1} and repeat?