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\(A=\sqrt{x}+1\) (đã thu gọn)
\(B=\dfrac{4\sqrt{x}}{x+4}\) (đã thu gọn)
\(A=x-\sqrt{x}+1=\sqrt{x}\cdot\sqrt{x}-\sqrt{x}+1=\sqrt{x}\left(\sqrt{x}-1\right)+1\)
\(A=\dfrac{3}{2\sqrt{x}}\) (đã thu gọn)
\(A=\dfrac{3}{\sqrt{x}+3}\) (đã thu gọn)
\(A=1-\sqrt{x}\) (đã thu gọn)
\(A=x-2\sqrt{x}-1=\sqrt{x}\left(\sqrt{x}-2\right)-1\)
\(A=\left(\frac{4\sqrt{x}}{\sqrt{x}+2}+\frac{8x}{4-x}\right):\left(\frac{\sqrt{x}-1}{x+2\sqrt{x}}-\frac{2}{\sqrt{x}}\right)\)
\(=\left(\frac{4\sqrt{x}\left(\sqrt{x}-2\right)-8x}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}\right):\left(\frac{\sqrt{x}-1}{\sqrt{x}\left(\sqrt{x}+2\right)}-\frac{2}{\sqrt{x}}\right)\)
\(=\frac{4x-8\sqrt{x}-8x}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}:\frac{\sqrt{x}-1-2\left(\sqrt{x}+2\right)}{\sqrt{x}\left(\sqrt{x}+2\right)}\)
\(=\frac{-4x-8\sqrt{x}}{\left(\sqrt{x}-2\right)\cdot\left(\sqrt{x}+2\right)}:\frac{\sqrt{x}-1-2\sqrt{x}-4}{\sqrt{x}\left(\sqrt{x}+2\right)}\)
\(=\frac{-4\sqrt{x}\left(\sqrt{x}+2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}\cdot\frac{\sqrt{x}\left(\sqrt{x}+2\right)}{-\sqrt{x}-5}=\frac{4x\left(\sqrt{x}+2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+5\right)}\)