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

Toán Lớp 9: √(1-√2)² + √11-6√2 √17+12√2 – (1-2√2)²

Toán Lớp 9: √(1-√2)² + √11-6√2
√17+12√2 – (1-2√2)²

Comments ( 2 )

  1. a) \sqrt{(1-\sqrt{2})^2}+\sqrt{11-6\sqrt{2}}
    =\sqrt{(\sqrt{2}-1)^2}+\sqrt{(9-6\sqrt{2}+2}
    =|\sqrt{2}-1|+\sqrt{(3-\sqrt{2})^2}
    =\sqrt{2]-1+|3-\sqrt{2}|
    =\sqrt{2}-1+3-\sqrt{2}
    =2
    b) \sqrt{17+12\sqrt{2}}-(1-2\sqrt{2})^2
    =\sqrt{9+12\sqrt{2}+8}-(1-4\sqrt{2}+8)
    =\sqrt{(3+2\sqrt{2})^2}-1+4\sqrt{2}-8
    =|3+2\sqrt{2}|-9+4\sqrt{2}
    =3+2\sqrt{2}-9+4\sqrt{2}
    =6\sqrt{2}-6

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

    toan-lop-9-1-2-11-6-2-17-12-2-1-2-2

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

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