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

Toán Lớp 8: $\sqrt{21-12\sqrt{3}}$`-`$\sqrt{3}$

Toán Lớp 8: $\sqrt{21-12\sqrt{3}}$-$\sqrt{3}$

Comments ( 1 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
     \sqrt{21 – 12\sqrt{3}} – \sqrt{3}
    = \sqrt{9 – 12\sqrt{3} + 12} – \sqrt{3}
    = \sqrt{3² – 2 . 3 . 2\sqrt{3} + (2\sqrt{3})²} – \sqrt{3}
    = \sqrt{(3 – 2\sqrt{3})²} – \sqrt{3}
    = |3 – 2\sqrt{3}| – \sqrt{3}
    = 2\sqrt{3} – 3 – \sqrt{3}
    = \sqrt{3} – 3

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