\(P=\dfrac{a+1}{\sqrt{a}}+\dfrac{a\sqrt{a}-1}{a-\sqrt{a}}+\dfrac{a^2-a\sqrt{a}+\sqrt{a}-1}{\sqrt{a}-a\sqrt{a}}\)
\(P=\dfrac{a+1}{\sqrt{a}}+\dfrac{\left(\sqrt{a}\right)^3-1^3}{\sqrt{a}\left(\sqrt{a}-1\right)}-\dfrac{a\sqrt{a}\left(\sqrt{a}-1\right)+\left(\sqrt{a}-1\right)}{a\sqrt{a}-\sqrt{a}}\)
\(P=\dfrac{a+1}{\sqrt{a}}+\dfrac{\left(\sqrt{a}-1\right)\left(a+\sqrt{a}+1\right)}{\sqrt{a}\left(\sqrt{a}-1\right)}-\dfrac{\left(\sqrt{a}-1\right)\left(a\sqrt{a}+1\right)}{\sqrt{a}\left(a-1\right)}\)
\(P=\dfrac{a+1}{\sqrt{a}}+\dfrac{a+\sqrt{a}+1}{\sqrt{a}}-\dfrac{\left(\sqrt{a}-1\right)\left(\sqrt{a}+1\right)\left(a-\sqrt{a}+1\right)}{\sqrt{a}\left(\sqrt{a}+1\right)\left(\sqrt{a}-1\right)}\)
\(P=\dfrac{a+1}{\sqrt{a}}+\dfrac{a+\sqrt{a}+1}{\sqrt{a}}-\dfrac{a-\sqrt{a}+1}{\sqrt{a}}\)
\(P=\dfrac{a+1+a+\sqrt{a}+1-a+\sqrt{a}-1}{\sqrt{a}}\)
\(P=\dfrac{a+2\sqrt{a}+1}{\sqrt{a}}\)
\(P=\dfrac{\left(\sqrt{a}+1\right)^2}{\sqrt{a}}\)
Với đk: \(a>0,x\ne1\)
