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

Toán Lớp 9: (√3+√2)2 (√5-√3)2 (2-√3)×(2+√3)

Toán Lớp 9: (√3+√2)2
(√5-√3)2
(2-√3)×(2+√3)

Comments ( 2 )

  1. (\sqrt{3}+\sqrt{2})²
    =(\sqrt{3})² +2.\sqrt{3}.\sqrt{2}+(\sqrt{2})²
    =3+2.\sqrt{6}+2
    =5+2\sqrt{6}
    —–
    (\sqrt{5}-\sqrt{3})²
    =(\sqrt{5})²-2.\sqrt{5}.\sqrt{3}+(\sqrt{3})²
    =5-2.\sqrt{15}+3
    =8-2\sqrt{15}
    —–
    (2-\sqrt{3})(2+\sqrt{3})
    =2²-(\sqrt{3})²
    =4-3=1
     

  2. ( √3 + √2)^{2}
    = 3 + 2.√6 + 2
    = 5 + 2√6
    ( √5 + √3)^{2}
    = 5 + 2.√15 + 3
    = 8 + √15
    ( 2 – √3) xx ( 2 + √3)
    = 2^{2} – (√3)^{2}
    = 4 – 3
    = 1.
    Bạn tham khảo!

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