perplexus.info :: Just Math : Rooting for 2015

Rooting for 2015 (Posted on 2015-08-14)

Determine the smallest value of a positive integer N such that the digit immediately preceding the decimal point in the expansion of √N is 2 and the three digits immediately following the decimal point is 015 (in this order)

*** Extra Challenge: A non-computer program assisted method.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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confirmed solution

| Comment 2 of 3 |

(In reply to Likely Solution by Jer)

trial     square   next   square root
sq root            intgr
 2.015    4.060225    5    2.23606797749979
12.015  144.360225  145   12.0415945787923
22.015  484.660225  485   22.0227155455452
32.015 1024.960225 1025   32.0156211871642

Posted by Charlie on 2015-08-14 10:22:22

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