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

Toán Lớp 9: (x$\sqrt[]{y}$ + y$\sqrt[]{x}$ )/($\sqrt[]{xy}$ ) : 1/( $\sqrt[]{x}$ -$\sqrt[]{y}$ )

Toán Lớp 9: (x$\sqrt[]{y}$ + y$\sqrt[]{x}$ )/($\sqrt[]{xy}$ ) : 1/( $\sqrt[]{x}$ -$\sqrt[]{y}$ )

Comments ( 2 )

  1. [(x\sqrt{y}+y\sqrt{x})/(\sqrt{xy})] ÷ 1/(\sqrt{x}-\sqrt{y})
    = [(\sqrt{xy}(\sqrt{x}+\sqrt{y}))/(\sqrt{xy})] . (\sqrt{x}-\sqrt{y})
    = (\sqrt{x}+\sqrt{y}) . (\sqrt{x}-\sqrt{y})
    = x – y
     

  2. Giải đáp:
    x-y 
    Lời giải và giải thích chi tiết:
    {x\sqrt[y]+y\sqrt[x]}/{\sqrt[xy]}:1/{\sqrt[x]-\sqrt[y]}
    ={\sqrt[xy](\sqrt[x]+\sqrt[y])}/{\sqrt[xy]}.\sqrt[x]-\sqrt[y]
    =(\sqrt[x]+\sqrt[y]).(\sqrt[x]-\sqrt[y])
    =(\sqrt[x])^2-(\sqrt[y])^2
    =x-y

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

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