Inequal or Equal?

Algebra Level 2

Let \(\color{red}{a}\) and \(\color{blue}{b}\) be real numbers such that \(\color{red}{a}>\color{blue}{b}>0\). Determine the least possible value of

\[\large \color{red}{a} + \dfrac{1} {\color{blue}{b}(\color{red}{a}-\color{blue}{b})}. \]

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