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These are no fractions, are they? (Posted on 2006-09-05)

You are probably quite certain that the following numbers are irrational. But can you prove it?

a = 0.149162536496481...

b = 0.2357111317192329...

c = 0.1248163264128256...

See The Solution Submitted by JLo

Rating: 2.5000 (2 votes)

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Puzzle Thoughts

Comment 16 of 16 |

For Part A:

The series of squares also includes the squares of 10, 100, 1000,... Therefore the decimal expansion of a contains arbitrarily long sequences of zeros and cannot be periodic

Posted by K Sengupta on 2024-06-04 22:22:46

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