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

Toán Lớp 9: (căn 5 +2 )^2 -8 căn 5 /2 căn 5-4

Toán Lớp 9: (căn 5 +2 )^2 -8 căn 5 /2 căn 5-4

Comments ( 2 )

  1. Giải đáp:=(sqrt5-2)/2
     
    Lời giải và giải thích chi tiết:
    ((sqrt5+2)^2-8sqrt5)/(2sqrt5-4)
    =(5+4+4sqrt5-8sqrt5)/(2(sqrt5-2))
    =(9-4sqrt5)/(2(sqrt5-2))
    =(5-2.2.sqrt5+4)/(2(sqrt5-2))
    =(sqrt5-2)^2/(2(sqrt5-2))
    =(sqrt5-2)/2

  2. (sqrt5+2)^2 – (8sqrt5)/(2sqrt5-4)
    = sqrt5^2 + 2sqrt5*2 + 2^2  – (8sqrt5)/(2(sqrt5-2))
    = 5 + 4sqrt5 + 4 – (4sqrt5)/(sqrt5-2)
    = 5 + 4sqrt5 + 4 – ((4sqrt5)(sqrt5+2))/((sqrt5-2)(sqrt5+2))
    = 5 + 4sqrt5 + 4 – ((4sqrt5)(sqrt5+2))/(sqrt5^2-2^2)
    = 5 + 4sqrt5 + 4 – 4sqrt5(sqrt5+2)
    = 5 + 4sqrt5 + 4 – 20 – 8sqrt5
    = -11 – 4sqrt5

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

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