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pi is a famous irrational number. people have calculated pi to over a quadrillion decimal places and still there is no pattern. the first few digits look like this: the number e (euler’s number) is another famous irrational number. people have also calculated e to lots of decimal places without any pattern showing. the first few digits look like this: apparently hippasus (one of pythagoras’ students) discovered irrational numbers when trying to write the square root of 2 as a fraction (using geometry, it is thought). instead he proved the square root of 2 could not be written as a fraction, so it is irrational. but followers of pythagoras could not accept the existence of irrational numbers, and it is said that hippasus was drowned at sea as a punishment from the gods!

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