The earliest documentation of who invented the square root was the Rhind Mathematical Papyrus which shows how the Egyptians extracted square roots around 1650 BC.
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No. The square roots of perfect squares are rational.
They are not.
With square roots if you have a number times itself or squared then that that product is that numbers square root example: 9x9= 81 81 square root is 9
Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.
All numbers are important.