\(\dfrac{\sqrt{a}-1}{\sqrt{a}-a}+\dfrac{\sqrt{a}-1}{a^2+\sqrt{a}}\)
\(=\dfrac{-1}{\sqrt{a}}+\dfrac{\sqrt{a}-1}{\sqrt{a}\left(a\sqrt{a}+1\right)}\)
\(=\dfrac{-a\sqrt{a}-1+\sqrt{a}-1}{\sqrt{a}\left(a\sqrt{a}+1\right)}=\dfrac{-a\sqrt{a}+\sqrt{a}-2}{\sqrt{a}\left(a\sqrt{a}+1\right)}\)