1: \(A=\dfrac{a-1}{\sqrt{a}}:\dfrac{a-1+1-\sqrt{a}}{a+\sqrt{a}}\)
\(=\dfrac{a-1}{\sqrt{a}}\cdot\dfrac{\sqrt{a}\left(\sqrt{a}+1\right)}{\sqrt{a}\left(\sqrt{a}-1\right)}=\dfrac{\left(\sqrt{a}+1\right)^2}{\sqrt{a}}\)
2: \(A-2=\dfrac{a+1}{\sqrt{a}}>0\)
=>A>2