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

Toán Lớp 9: (4+√15) ( √10-√6) × căn 4-√15

Toán Lớp 9: (4+√15) ( √10-√6) × căn 4-√15

Comments ( 1 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    (4+sqrt{15})(sqrt{10}-sqrt6)sqrt{4-sqrt{15}}
    =sqrt{4+sqrt{15}}.sqrt{4+sqrt{15}}.(sqrt{10}-sqrt6)sqrt{4-sqrt{15}}
    =sqrt{16-15}.\sqrt2.sqrt{4+sqrt{15}}(sqrt5-sqrt3)
    =sqrt{8+2sqrt{15}}(sqrt5-sqrt3)
    =sqrt{5+2\sqrt{5.3}+3}(sqrt5-sqrt3)
    =sqrt{(sqrt5+sqrt3)^2}(sqrt5-sqrt3)
    =(sqrt5+sqrt3)(sqrt5-sqrt3)
    =sqrt5^2-sqrt3^2
    =5-3=2

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