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

Toán Lớp 9: 3+căn 3 /3-căn 3 + 3-căn 3/3+căn 3

Toán Lớp 9: 3+căn 3 /3-căn 3 + 3-căn 3/3+căn 3

Comments ( 1 )

  1. Giải đáp:
     4
    Lời giải và giải thích chi tiết:
    $\displaystyle \begin{array}{{>{\displaystyle}l}} \frac{3+\sqrt{3}}{3-\sqrt{3}} +\frac{3-\sqrt{3}}{3+\sqrt{3}}\\ =\frac{\left( 3+\sqrt{3}\right)^{2}}{\left( 3-\sqrt{3}\right)\left( 3+\sqrt{3}\right)} +\frac{\left( 3-\sqrt{3}\right)^{2}}{\left( 3+\sqrt{3}\right)\left( 3-\sqrt{3}\right)}\\ =\frac{9+6\sqrt{3} +3+9-6\sqrt{3} +3}{3^{2} -\left(\sqrt{3}\right)^{2}}\\ =\frac{9+3+9+3}{9-3} =\frac{24}{6} =4 \end{array}$

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