[tex]Q =(\frac{1}{\sqrt{a}+1} - \frac{1}{a+\sqrt{a}}): \frac{\sqrt{a}-1}{a+2\sqrt{a}+1}=\frac{\sqrt{a}-1}{\sqrt{a}(\sqrt{a}-1)}:\frac{\sqrt{a}-1}{(\sqrt{a}+1)^2}=\frac{1}{\sqrt{a}}:\frac{\sqrt{a}-1}{(\sqrt{a}+1)^2}=\frac{(\sqrt{a}+1)^2}{\sqrt{a}(\sqrt{a}-1)}[/tex]