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Joe Horn · (This post was last modified: 12-31-2017 11:32 PM by Joe Horn.)

(12-31-2017 04:19 PM)pier4r Wrote: sqrt(2018) . Find a fraction that better approximates this number. Where better: the smallest |x-sqrt(2018)|.
Caveat: Only 10 digits (even repeated) to share among all the numbers!
Please share your result (and program/procedure) with spoilers. ...
2nd little problem.
Take the factors of 2018, apply the square root on each of them, sum the square roots. Then you have a number. Approximate even this number with a fraction. Max 10 digits as well.

Here are the 10-total-digits "best fractions" returned by the PDQ program.

Code:

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sqrt(2018) --> 333547/7425

sqrt(2)+sqrt(1009) --> 223759/6744