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

Toán Lớp 9: rút gọn biểu thức: 25/( 5 + 2 căn 6) + 25/ (5- 2 căn 6)

Toán Lớp 9: rút gọn biểu thức: 25/( 5 + 2 căn 6) + 25/ (5- 2 căn 6)

Comments ( 2 )

  1. ~rai~
    \(\dfrac{25}{5+2\sqrt{6}}+\dfrac{25}{5-2\sqrt{6}}\\=25.\left(\dfrac{1}{5+2\sqrt{6}}+\dfrac{1}{5-2\sqrt{6}}\right)\\=25.\left[\dfrac{5-2\sqrt{6}}{(5+2\sqrt{6})(5-2\sqrt{6})}+\dfrac{5+2\sqrt{6}}{(5+2\sqrt{6})(5-2\sqrt{6})}\right]\\=25.\dfrac{5-2\sqrt{6}+5+2\sqrt{6}}{5^2-(2\sqrt{6})^2}\\=25.\dfrac{10}{25-24}\\=25.10=250.\)

  2. Giải đáp:
    $250$
    Lời giải và giải thích chi tiết:
      

    toan-lop-9-rut-gon-bieu-thuc-25-5-2-can-6-25-5-2-can-6

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

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