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

Toán Lớp 9: $\frac{\sqrt{7}}{\sqrt{1+\sqrt{7}}-1}-\frac{\sqrt{7}}{\sqrt{1+\sqrt{7}}+1}$

Toán Lớp 9: $\frac{\sqrt{7}}{\sqrt{1+\sqrt{7}}-1}-\frac{\sqrt{7}}{\sqrt{1+\sqrt{7}}+1}$

Comments ( 1 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
     \frac{\sqrt{7}}{\sqrt{1 + \sqrt{7}} – 1} – \frac{\sqrt{7}}{\sqrt{1 + \sqrt{7}} + 1}
    = \frac{\sqrt{7}(\sqrt{1 + \sqrt{7}} + 1) – \sqrt{7}(\sqrt{1 + \sqrt{7}} – 1)}{(\sqrt{1 + \sqrt{7}} – 1)(\sqrt{1 + \sqrt{7}} + 1)}
    = \frac{\sqrt{7} . \sqrt{1 + \sqrt{7}} + \sqrt{7} – \sqrt{7} . \sqrt{1 + \sqrt{7}} + \sqrt{7}}{1 + \sqrt{7} – 1}
    = \frac{2\sqrt{7}}{\sqrt{7}}
    = 2

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

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