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Principal Square Root. The unique nonnegative square root of a nonnegative real number. For example, the principal square root of 9 is 3, although both and 3 are square roots of 9.
The square root of a number is the number that, when squared (multiplied by itself), is equal to the given number. For example, the square root of 16, denoted 161/2 or, is 4, because 42 = 4Ã4 = 16. The square root of 121, denoted, is 11, because 112 = 121.