Rút gọn biểu thức:$\left ( \sqrt{x}-\frac{1}{\sqrt{x}} \right )\div \left ( \frac{\sqrt{x}-1}{\sqrt{x}}+\frac{1-\sqrt{x}}{x+\sqrt{x}} \right )$
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Edited by Oral31211999, 02-05-2013 - 14:02.
$\left ( \sqrt{x}-\frac{1}{\sqrt{x}} \right )\div ...$
Started By A4 Productions, 02-05-2013 - 13:58
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Posted 02-05-2013 - 16:52
banhgaongonngon
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Rút gọn biểu thức:$\left ( \sqrt{x}-\frac{1}{\sqrt{x}} \right )\div \left ( \frac{\sqrt{x}-1}{\sqrt{x}}+\frac{1-\sqrt{x}}{x+\sqrt{x}} \right )$
$BT=\frac{\frac{x-1}{\sqrt{x}}}{\frac{\sqrt{x}-1}{\sqrt{x}}-\frac{\sqrt{x}-1}{\sqrt{x}(1+\sqrt{x})}}$
$=\frac{\frac{{x-1}}{\sqrt{x}}}{\frac{x-1-(\sqrt{x}-1)}{\sqrt{x}(1+\sqrt{x})}}$
$=\frac{\frac{x-1}{\sqrt{x}}}{\frac{\sqrt{x}-1}{\sqrt{x}+1}} $
$=\frac{\frac{x-1}{\sqrt{x}}}{\frac{x-1}{x+2\sqrt{x}+1}}=\frac{x+2\sqrt{x}+1}{\sqrt{x}}$
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