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Because the ancients were trying to find the measure of the diagonal of a square with sides of length one unit. The diagonal would not come out as any rational number and so Irrational Numbers - including square roots - had to be invented.

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βˆ™ 13y ago
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βˆ™ 1y ago

Square roots were not invented by any specific mathematicians, but they were discovered and studied by ancient civilizations such as the Babylonians, Egyptians, and Greeks. The concept of square roots emerged as a natural result of solving mathematical problems and practical applications involving squares and their areas. Over time, mathematicians like Pythagoras and Euclid contributed to the understanding and development of square roots.

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Q: What mathematicians came up with square roots and why?
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