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

Toán Lớp 9: khử mẫu lấy căn 5+căn 3 phần 5-căn 3

Toán Lớp 9: khử mẫu lấy căn
5+căn 3 phần 5-căn 3

Comments ( 2 )

  1. (5 +\sqrt{3})/(5 – \sqrt{3})

    =  ( (5 +\sqrt{3})^2)/((5 – \sqrt{3})(5+\sqrt{3}))

    =  (5^2 + 2 . 5 . \sqrt{3} + (\sqrt{3})^2)/(5^2 – (\sqrt{3})^2)

    =  (25 + 10\sqrt{3} + 3)/(25  – 3)

    =  (28 + 10 \sqrt{3})/22

    = (2 (14 + 5 \sqrt{3}))/22

    = (14 + 5 \sqrt{3})/11

     

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