perplexus.info :: Just Math : 2011 Powered Digits

2011 Powered Digits (Posted on 2011-03-25)

Find the first digit before and after the decimal point in the base ten expansion of (√2 + √3)²⁰¹¹.

For an extra challenge, solve this puzzle without using a computer program.

No Solution Yet Submitted by K Sengupta

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spoiler- I don't know how you'd get this analytically

| Comment 3 of 5 |

Using MiracleCalc, the digits near the decimal point are:

...33931186.03633771...

Posted by Charlie on 2011-03-25 22:17:42

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