\(P=\left(\frac{\left(1-\sqrt{a}\right)\left(1+\sqrt{a}+a\right)}{1-\sqrt{a}}+\sqrt{a}\right)\left(\frac{1-\sqrt{a}}{\left(1-\sqrt{a}\right)\left(1+\sqrt{a}\right)}\right)^2\)
\(P=\left(a+2\sqrt{a}+1\right).\frac{1}{\left(1+\sqrt{a}\right)^2}\)
\(P=\left(\sqrt{a}+1\right)^2.\frac{1}{\left(1+\sqrt{a}\right)^2}\)
\(P=1\)