The unique nonnegative square root of a nonnegative real number. For example, the principal square root of 9 is 3, although both

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and 3 are square roots of 9.

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The concept of principal square root cannot be extended to real negative numbers since the two square roots of a negative number cannot be distinguished until one of the two is defined as the imaginary unit, at which point

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and
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can then be distinguished. Since either choice is possible, there is no ambiguity in defining
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as "the" square root of
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.


SEE ALSO: Cube Root, i, nth Root, Principal Root of Unity, Radical, Square Root, Surd
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Weisstein, Eric W. "Principal Square Root."From chathamtownfc.net--A chathamtownfc.net Web Resource. https://chathamtownfc.net/PrincipalSquareRoot.html


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