[Haskell-beginners] Square root algorithm

[mike h]

Hi,

To help me in learning Haskell I started blogging about some of the things I’ve looked at. 
One such topic was calculating square roots ‘by hand’ and then deriving a Haskell algorithm. 
I wrote about the well known  technique here
http://gitcommit.co.uk/2017/08/25/the-root-of-the-problem-part-1/ <http://gitcommit.co.uk/2017/08/25/the-root-of-the-problem-part-1/>

and it it is really quite a simple method. 

The second part of the post will be an implementation in Haskell. 

I then tried implementing it  and got something that works but really its not very pleasant to look at! And its something I don’t want to post! Some parts are fine but I think I locked myself into the notion that it had to be using State and  really the end result is pretty poor. 

I know this i perhaps a ‘big ask’ but I’d really appreciate any suggestions, solutions, hints etc. I will of course give full attribution. 

I’ve created a gist of the code here
https://gist.github.com/banditpig <https://gist.github.com/banditpig>

Many Thanks

Mike
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