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Irrational numbers

An irrational number is a real number that can't be expressed as a ratio of integers, i.e. as a fraction.

Put another way, it can never be specified with absolute accuracy.

Well known examples are ฯ€ and โˆš2

For many irrational numbers, relatively simple mathematical proofs exist which show that it's impossible to ever arrive at a finite solution. For example, โˆš2 was proved to be an irrational number by Greek mathematicians more than 2,000 years ago.

Further details at Wikipedia


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