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

Toán Lớp 9: căn 7 / căn 5 – 2 – căn 7 / căn 5 + 2 – căn 63

Toán Lớp 9: căn 7 / căn 5 – 2 – căn 7 / căn 5 + 2 – căn 63

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    sqrt7/(sqrt5-2) – sqrt7/(sqrt5+2) – sqrt{63}
    = sqrt7/(sqrt5-2) – sqrt7/(sqrt5+2) – 3sqrt7
    = (sqrt7(2+sqrt5)-sqrt7(sqrt5-2))/((sqrt5-2)(sqrt5+2)) – 3sqrt7
    = (2sqrt7+sqrt{35}-sqrt{35}+2sqrt7)/(sqrt5^2-2^2) – 3sqrt7
    = (4sqrt7)/1 – 3sqrt7
    = 4sqrt7 – 3sqrt7
    = sqrt7

  2. (\sqrt{7})/(\sqr{5}-2)-(\sqrt{7})/(\sqr{5}+2)-\sqrt{63}
    =(\sqrt{7}(\sqrt{5}+2))/((\sqr{5}-2)(\sqrt{5}+2))-(\sqrt{7}(\sqrt{5}-2))/((\sqr{5}-2)(\sqrt{5}+2))-3\sqrt{7}
    =(\sqrt{35}+2\sqrt{7}-\sqrt{35}+2\sqrt{7})/(5-4)-3\sqrt{7}
    =4\sqrt{7}-3\sqrt{7}
    =\sqrt{7}

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

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