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IEVref: | 102-02-15 | ID: | |

Language: | en | Status: Standard | |

Term: | square root | ||

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Definition: | any real or complex number for which the product by itself is equal to a given real or complex number Note 1 to entry: Every non-zero real or complex number has two square roots, each being the negative of the other. For a non-negative real number Note 2 to entry: The concept of square root may be applied to scalar quantities. | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

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Note 1 to entry: Every non-zero real or complex number has two square roots, each being the negative of the other. For a non-negative real number *a*, the non-negative square root is denoted by ${a}^{1/2}$ or $\sqrt{a}$. For a negative real number *a*, the number $-a$ is positive and the two square roots are imaginary numbers, conjugate of each others, denoted by $j\sqrt{-a}$ and $-j\sqrt{-a}$. For a complex number $c=\left|c\right|{e}^{j\phi}$, the two square roots are $\sqrt{\left|c\right|}{e}^{j\phi /2}$ and $\sqrt{\left|c\right|}{e}^{j(\frac{\phi}{2}+\pi )}$.

Note 2 to entry: The concept of square root may be applied to scalar quantities.