a: \(=\dfrac{x+1}{\sqrt{x}\left(\sqrt{x}-1\right)}:\dfrac{\sqrt{x}-1+2}{x-1}\)
\(=\dfrac{x+1}{\sqrt{x}\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\cdot\left(x-1\right)=\dfrac{x+1}{\sqrt{x}}\)
b: A=2
=>x+1=2 căn x
=>x=1(loại)
c: \(P=\left(A-4\right)\cdot\sqrt{x}=\dfrac{x+1-4\sqrt{x}}{\sqrt{x}}\cdot\sqrt{x}=x-4\sqrt{x}+1\)
\(=x-4\sqrt{x}+4-3=\left(\sqrt{x}-2\right)^2-3>=-3\)
Dấu = xảy ra khi x=4
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