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

Toán Lớp 9: Rút gọn biểu thức :(√1000/100 – 5√2-2√5/2√5-√8)×√10/10 Hộ iem vs ạ :))

Toán Lớp 9: Rút gọn biểu thức :(√1000/100 – 5√2-2√5/2√5-√8)×√10/10
Hộ iem vs ạ :))

Comments ( 1 )

  1. $(\frac{\sqrt{1000}}{100}-\frac{5\sqrt{2}-2\sqrt{5}}{2\sqrt{5}-\sqrt{8}}).\frac{\sqrt{10}}{10}$
    $=(\frac{10\sqrt{10}}{10.10}-\frac{\sqrt{5}.\sqrt{2}.(\sqrt{5}-\sqrt{2})}{2.(\sqrt{5}-\sqrt{2})}).\frac{1}{\sqrt{10}}$
    $=(\frac{1}{\sqrt{10}}-\frac{\sqrt{5}}{\sqrt{2}}).\frac{1}{\sqrt{10}}$
    $=\frac{1}{10}-\frac{\sqrt{5}}{\sqrt{20}}$
    $=\frac{1}{10}-\frac{\sqrt{5}}{\sqrt{5}.\sqrt{4}}$
    $=\frac{1}{10}-\frac{1}{\sqrt{4}}$
    $=\frac{\sqrt{4}-10}{10\sqrt{4}}$
    $=-\frac{2}{5}$

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