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If you mean by 'used' when were they first discussed then that was probably the Pythagoreans of Greece around the 5th century BC. They didn't use them so much as argue about them!

The first mathematician to use them systematically was Abu Kamil Shuja ibn Aslam of Egypt, around the 9th century. He used them as solutions and coefficients of equations.

For more information please see the wikipedia article about Irrational Numbers.

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11y ago

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