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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: ( $\frac{4}{2+\sqrt[]{y} }$ + $\frac{8\sqrt[]{y} }{4-y}$ ) : ( $\frac{\sqrt[]{y}-1 }{y-2 \sqrt[]{y} }$ – $\frac{2}{\sqrt[]{y} }$ )

Toán Lớp 9: ( $\frac{4}{2+\sqrt[]{y} }$ + $\frac{8\sqrt[]{y} }{4-y}$ ) : ( $\frac{\sqrt[]{y}-1 }{y-2 \sqrt[]{y} }$ – $\frac{2}{\sqrt[]{y} }$ )
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Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    (\frac{4}{2+\sqrt{y}}+\frac{8\sqrt{y}}{4-y} ):(\frac{\sqrt{y}-1}{y-2\sqrt{y}}-\frac{2}{\sqrt{y}})
    ĐKXĐ: y>0;yne4
    =(\frac{4}{2+\sqrt{y}}+\frac{8\sqrt{y}}{(2+\sqrt{y})(2-\sqrt{y})} ):(\frac{\sqrt{y}-1}{\sqrt{y}(\sqrt{y}-2)}-\frac{2}{\sqrt{y}})
    =\frac{4(2-\sqrt{y})+8\sqrt{y}}{(2+\sqrt{y})(2-\sqrt{y})}:\frac{\sqrt{y}-1-2(\sqrt{y}-2)}{\sqrt{y}(\sqrt{y}-2)}
    =\frac{8-4\sqrt{y}+8\sqrt{y}}{(2+\sqrt{y})(2-\sqrt{y})}:\frac{\sqrt{y}-1-2\sqrt{y}+4}{\sqrt{y}(\sqrt{y}-2)}
    =\frac{8+4\sqrt{y}}{(2+\sqrt{y})(2-\sqrt{y})}:\frac{3-\sqrt{y}}{\sqrt{y}(\sqrt{y}-2)}
    =\frac{4(2+\sqrt{y})}{(2+\sqrt{y})(2-\sqrt{y})}:\frac{3-\sqrt{y}}{\sqrt{y}(\sqrt{y}-2)}
    =\frac{4}{2-\sqrt{y}}.\frac{\sqrt{y}(\sqrt{y}-2)}{3-\sqrt{y} }
    =\frac{-4\sqrt{y}}{3-\sqrt{y} }

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222-9+11+12:2*14+14 = ? ( )

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