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this is my first question in CS so I apologize if this question is off-topic.

If we use Newton`s Method for finding square root then complexity is $O(M(n))$ (using Wikipedia Notation: $M(n)$ is the algorithm to multiply two $n$-digit numbers).

I am interested to know whats the constant hidden in Landau notation in this case and/or how can I calculate it.

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  • $\begingroup$ What's $n$? Is it the number of bits of precision that you want the answer to have? $\endgroup$ – D.W. Oct 4 '14 at 5:22
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    $\begingroup$ I would imagine that $n$ is [[the bit-length of the input] plus [the number of bits after $\hspace{1.4 in}$ the binary point that you want the answer of have]]. $\:$ $\endgroup$ – user12859 Oct 4 '14 at 5:46

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