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

Toán Lớp 9: 1/ căn 5 – 1 – 1 / căn 5 + 1

Toán Lớp 9: 1/ căn 5 – 1 – 1 / căn 5 + 1

Comments ( 2 )

  1. 1/(\sqrt{5}-1)-1/(\sqrt{5}+1)
    =(\sqrt{5}+1-\sqrt{5}+1)/((\sqrt{5}-1)(\sqrt{5}+1))
    =(2)/(5-1)
    =2/4
    =1/2
     

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    $\dfrac{1}{\sqrt{5}-1}-\dfrac{1}{\sqrt{5}+1}$
    $=\dfrac{\sqrt{5}+1}{(\sqrt{5}-1)(\sqrt{5}+1)}-\dfrac{\sqrt{5}-1}{(\sqrt{5}-1)(\sqrt{5}+1)}$
    $=\dfrac{\sqrt{5}+1-\sqrt{5}+1}{(\sqrt{5}-1)(\sqrt{5}+1)}$
    $=\dfrac{2}{5-1}$
    $=\dfrac{2}{4}$
    $=\dfrac{1}{2}$
    (Bài tham khảo)

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