Is root of \( x^2 \) = \( x \) ?

Given that:

\[\large \color{blue} \sqrt{ \left( \frac{3}{2} \right)^2 } = \color{red} \frac{3}{2} \\ \large \color{blue} \sqrt{ \left( \frac{1}{2} \right)^2 } = \color{red} \frac{1}{2} \]

Find the value of:

\[\large \color{blue} \sqrt{ \left( - \frac{1}{2} \right)^2 } = \color{red} ? \]

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