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Q: When did Pythagoras discovered irrational numbers?

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Hippasus, 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.

Pythagoras is called the father of numbers because he discovered the Pythagoras theoram.

Little is really ''known'' about this. Stories abound and many conflict. The surest element of the tales is that root 2 was the first number proven irrational. The favourite for "whodunnit" was Hippasus. Many tales are told of his death by drowning. "Whodun'''that"''' has various answers with Pythagoras as the favourite pusher. Other stories have Pythagoras ordering Hippasus drowned for revealing the existence of irrational numbers, which Pythagoras thought should be kept secret.

No He discovered how to work out the hypotenuse

Pythogora

Possibly 5th Century BC

No. For example, 20.5 is irrational; indeed it was one of the first irrational numbers to be discovered.

They are irrational numbers!

They are numbers that are infinite

Irrational numbers are real numbers.

properties of irrational numbers

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

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