Giải thích các bước giải:
Ta có:
$M=\dfrac{x\sqrt{x}-1}{x-\sqrt{x}}+\dfrac{x\sqrt{x}+1}{x+\sqrt{x}}+\dfrac{x+1}{\sqrt{x}}$
$\to M=\dfrac{(\sqrt{x}-1)(x+\sqrt{x}+1)}{\sqrt{x}(\sqrt{x}-1)}+\dfrac{(\sqrt{x}+1)(x-\sqrt{x}+1)}{\sqrt{x}(\sqrt{x}+1)}+\dfrac{x+1}{\sqrt{x}}$
$\to M=\dfrac{x+\sqrt{x}+1}{\sqrt{x}}+\dfrac{x-\sqrt{x}+1}{\sqrt{x}}+\dfrac{x+1}{\sqrt{x}}$
$\to M=\dfrac{x+\sqrt{x}+1+x-\sqrt{x}+1+x+1}{\sqrt{x}}$
$\to M=\dfrac{3x+3}{\sqrt{x}}$
