Hi mate, Thinking a number that will never end

Apparently Hippasus (one of Pythagoras’ students) discovered irrational numbers when trying to represent the square root of 2 as a fraction (using geometry, it is thought). Instead he proved you couldn’t write the square root of 2 as a fraction and so it was irrational.

However Pythagoras could not accept the existence of irrational numbers, because he believed that all numbers had perfect values. But he could not disprove Hippasus’ “irrational numbers” and so Hippasus was thrown overboard and drowned!

An irrational number is a number that cannot be written as a ratio of two integers.

Irrational numbers written as decimals are non-terminating and non-repeating.

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