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Happy New Year!
12-31-2017, 09:47 PM (This post was last modified: 12-31-2017 11:32 PM by Joe Horn.)
Post: #5
RE: Happy New Year!
(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:
[scroll down...]












sqrt(2018) --> 333547/7425
sqrt(2)+sqrt(1009) --> 223759/6744

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Messages In This Thread
Happy New Year! - Eddie W. Shore - 12-31-2017, 03:38 PM
RE: Happy New Year! - salvomic - 12-31-2017, 03:45 PM
RE: Happy New Year! - pier4r - 12-31-2017, 04:19 PM
RE: Happy New Year! - Gerson W. Barbosa - 12-31-2017, 07:08 PM
RE: Happy New Year! - Joe Horn - 12-31-2017 09:47 PM
RE: Happy New Year! - Massimo Gnerucci - 01-01-2018, 12:26 AM
RE: Happy New Year! - pier4r - 01-01-2018, 01:18 AM
RE: Happy New Year! - Joe Horn - 01-02-2018, 12:15 AM
RE: Happy New Year! - badaze - 01-01-2018, 02:16 AM
RE: Happy New Year! - TheKaneB - 01-01-2018, 03:43 AM
RE: Happy New Year! - Craig Bladow - 01-01-2018, 05:49 AM
RE: Happy New Year! - Gamo - 01-01-2018, 06:12 AM
RE: Happy New Year! - Geoff Quickfall - 01-01-2018, 07:19 AM
RE: Happy New Year! - salvomic - 01-01-2018, 09:36 AM
RE: Happy New Year! - Thomas Radtke - 01-01-2018, 01:08 PM
RE: Happy New Year! - Arno K - 01-01-2018, 01:26 PM
RE: Happy New Year! - aurelio - 01-01-2018, 01:52 PM
RE: Happy New Year! - Giancarlo - 01-02-2018, 03:57 PM



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