content:mathematics:irrational_numbers

# Wikenigma - an Encyclopedia of Unknowns Wikenigma - an Encyclopedia of the Unknown

# 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 **โ2**

For many irrational numbers, relatively simple mathematical proofs exist which show that it's impossible to ever arrive at a finite solution. For example, **โ2** was proved to be an irrational number by Greek mathematicians more than 2,000 years ago.

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