\(a,P=\dfrac{2x+2}{\sqrt{x}}+\dfrac{\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}-1\right)}-\dfrac{\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}+1\right)}\left(x>0;x\ne1\right)\\ P=\dfrac{2x+2}{\sqrt{x}}+\dfrac{x+\sqrt{x}+1}{\sqrt{x}}-\dfrac{x-\sqrt{x}+1}{\sqrt{x}}\\ P=\dfrac{2x+2+x+\sqrt{x}+1-x+\sqrt{x}-1}{\sqrt{x}}\\ P=\dfrac{2x+2\sqrt{x}+2}{\sqrt{x}}\)
\(b,P=2\sqrt{x}+2+\dfrac{2}{\sqrt{x}}\ge2\sqrt{2\sqrt{x}\cdot\dfrac{2}{\sqrt{x}}}+2=2\cdot2+2=6>5\)
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