a, ĐK: \(x>0;x\ne4\)
\(P=\left(\dfrac{\sqrt{x}}{\sqrt{x}-2}-\dfrac{x-\sqrt{x}-1}{x-2\sqrt{x}}\right):\left(\dfrac{x+2}{\sqrt{x}+1}-\dfrac{x-5}{x+\sqrt{x}-2}\right)\)
\(=\dfrac{x-x+\sqrt{x}+1}{\sqrt{x}\left(\sqrt{x}-2\right)}:\left[\dfrac{\left(x+2\right)\left(x+\sqrt{x}-2\right)}{\left(\sqrt{x}+1\right)\left(x+\sqrt{x}-2\right)}-\dfrac{\left(x-5\right)\left(\sqrt{x}+1\right)}{\left(\sqrt{x}+1\right)\left(x+\sqrt{x}-2\right)}\right]\)
Làm đến đây thì... Nghi vấn sai đề.