IEVref: 102-02-15 ID: Language: en Status: Standard Term: square root Synonym1: Synonym2: Synonym3: Symbol: Definition: any real or complex number for which the product by itself is equal to a given real or complex numberNote 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 $c=|c|{e}^{j\phi }$, the two square roots are $\sqrt{|c|}{e}^{j\phi /2}$ and $\sqrt{|c|}{e}^{j\left(\frac{\phi }{2}+\pi \right)}$. Note 2 to entry: The concept of square root may be applied to scalar quantities. Publication date: 2008-08 Source: Replaces: Internal notes: 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: