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

Toán Lớp 9: CAN BAC 6+2 CAN BAC 5+CAN BAC 9-4 CAN BAC5-CAN BAC 20

Toán Lớp 9: CAN BAC 6+2 CAN BAC 5+CAN BAC 9-4 CAN BAC5-CAN BAC 20

Comments ( 2 )

  1. Lời giải và giải thích chi tiết:
     sqrt(6+2sqrt5)+sqrt(9-4sqrt5)-sqrt20
    =sqrt((sqrt5+1)^2)+sqrt((sqrt5-2)^2)-2sqrt5
    =sqrt5+1+sqrt5-2-2sqrt5
    =-1

  2. Hướng dẫn trả lời:
    sqrt{6 + 2sqrt{5}} + sqrt{9 – 4sqrt{5}} – sqrt{20}
    = sqrt{5 + 2sqrt{5} + 1} + sqrt{5 – 4sqrt{5} + 4} – sqrt{4cdot5}
    = sqrt{(sqrt{5})^2 + 2cdot sqrt{5}cdot1 + 1^2} + sqrt{(sqrt{5})^2 – 2cdot sqrt{5}cdot2 + 2^2} – sqrt{2^2cdot5}
    = sqrt{(sqrt{5} + 1)^2} + sqrt{(sqrt{5} – 2)^2} – 2sqrt{5}
    = |sqrt{5} + 1| + |sqrt{5} – 2| – 2sqrt{5}
    = (sqrt{5} + 1) + (sqrt{5} – 2) – 2sqrt{5} (Vì sqrt{5} > sqrt{4} = 2 → sqrt{5} – 2 > 0)
    = sqrt{5} + 1 + sqrt{5} – 2 – 2sqrt{5}
    = (1 – 2) + (sqrt{5} + sqrt{5} – 2sqrt{5})
    = -1
    Giải đáp:
    = -1

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