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Pi problem (Posted on 2002-12-11) Difficulty: 5 of 5
Prove that 'pi' is irrational.

See The Solution Submitted by Dulanjana    
Rating: 3.0000 (12 votes)

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The solution if people would like to see it. | Comment 4 of 14 |
This is not a one-liner proof, but also not so bad. The trickier part is to prove that pi is transcendental. (i.e. not a root of any polynomial with integer coefficients)

There's a relatively simple proof of the irrationality of pi up at:

http://pi314.at/math/irrational.html

It is a contradiction proof due to Niven. Not exactly the sort of thing one would come up with off the top of one's head, but not so hard to understand.

  Posted by Cale Gibbard on 2002-12-11 23:51:42
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