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How could I be able to find a square root without first squaring a certain number that equals the number I want to square? I am very confused on this topic and would like to know a lot more about it.

 Mar 5, 2016
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You could use an iterative numerical method.  Suppose you want to find the square root of the number m, say.  

 

Makle an initial guess x0 (just set it to m/4 or something like it) then for a number of iterations i, use

 

xi = (xi-1 + m/xi-1)/2   until xi is the same as xi-1.

 

For example, suppose you want to find the square root of 3:

 

iteration

 Mar 6, 2016

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