ThmDex – An index of mathematical definitions, results, and conjectures.
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Real number square root
Definition D5918
Real number principal square root
Formulation 0
Let $y \in \mathbb{R}$ be a D993: Real number.
A D993: Real number $x \in \mathbb{R}$ is a principal square root for $y$ if and only if
(1) \begin{equation} y = x^2 \end{equation}
(2) \begin{equation} x \geq 0 \end{equation}