Đk: \(x>0;x\ne4\)
\(P=\dfrac{\sqrt{x}+1}{\sqrt{x}-2}+\dfrac{2\sqrt{x}}{\sqrt{x}}+\dfrac{2+5\sqrt{x}}{4-x}\)
\(P=\dfrac{\left(\sqrt{x}+1\right)\left(\sqrt{x}+2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}+2+\dfrac{2+5\sqrt{x}}{\left(2-\sqrt{x}\right)\left(\sqrt{x}+2\right)}\)
\(P=\dfrac{x+3\sqrt{x}+2-\left(2+5\sqrt{x}\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}+2\)
\(P=\dfrac{x-2\sqrt{x}}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}+2\)
\(P=\dfrac{\sqrt{x}\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}+2=\dfrac{\sqrt{x}}{\sqrt{x}+2}+2\)
Sửa đề rồi, xem lại đề xem sửa có đúng không nhe