a: \(P=\dfrac{\sqrt{a}+1}{\sqrt{a}\left(\sqrt{a}-1\right)}\cdot\dfrac{\left(\sqrt{a}-1\right)^2}{\sqrt{a}+1}=\dfrac{\sqrt{a}-1}{\sqrt{a}}\)
b: \(P-1=\dfrac{\sqrt{a}-1-\sqrt{a}}{\sqrt{a}}=\dfrac{-1}{\sqrt{a}}< 0\)
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