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The symbol used to indicate a nonnegative square root.
The symbol √ for the square root was first used in print in 1525 inChristoph Rudolff's Coss, which was also the first to use the then-new signs '+' and '-'
No, there is no such requirement or convention.
Leonhard Euler, an 18th Century mathematician, invented it. But the square root was used before him by the Greeks.
The 'radical': √