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

Toán Lớp 9: Rút gọn a, √20 – √45 + 3√18 + √72 b, 0,1√200 + 2√0,08 + 0,4√3/2 c, 3/2√6 + 2√2/3 + 4√3/2

Toán Lớp 9: Rút gọn
a, √20 – √45 + 3√18 + √72
b, 0,1√200 + 2√0,08 + 0,4√3/2
c, 3/2√6 + 2√2/3 + 4√3/2

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
     A)√20-√45+3√18+√72
    =2√5-3√5+9√2+6√2
    =-√5+15√2
    =-√5+30√5=29√5
    B)0,1√200 + 2√0,08 + 0,4√3/2
    =$\frac{5√2}{5}$+$\frac{2√2}{5}$ +$\frac{√6}{5}$ 
    =$\frac{7√2+√6}{5}$ 
    C)3/2√6 + 2√2/3 + 4√3/2
    Ảnh
    #Muoi

    toan-lop-9-rut-gon-a-20-45-3-18-72-b-0-1-200-2-0-08-0-4-3-2-c-3-2-6-2-2-3-4-3-2

  2. a)
    \sqrt{20} – \sqrt{45} + 3 \sqrt{18} + \sqrt{72}
    = \sqrt{4} . \sqrt{5} – \sqrt{5} . \sqrt{9} + 3 . \sqrt{9} . \sqrt{2} + \sqrt{36} . \sqrt{2}
    = 2 \sqrt{5} – 3 \sqrt{5} + 3 . 3 . \sqrt{2} + 6 \sqrt{2}
    = – \sqrt{5} + 9 \sqrt{2} + 6 \sqrt{2}
    = -\sqrt{15} + 15 \sqrt{2}
    b)
    0,1 \sqrt{200}  + 2 \sqrt{0,08} + 0,4 \sqrt{3/2}
    = 0,1 . \sqrt{100}  . \sqrt{2} + 2 . (\sqrt{2})/5 + 2/5  . (\sqrt{6})/2
    =  0,1 . 10 . \sqrt{2} + (2 \sqrt{2})/5 + (\sqrt{6})/5
    =  \sqrt{2} + (2 \sqrt{2} + \sqrt{6})/5
    = (5 \sqrt{2})/5 + (2 \sqrt{2} + \sqrt{6})/5
    =  (7 \sqrt{2} +\sqrt{6})/5
    c)
    3/2 \sqrt{6} + 2 \sqrt{2/3} + 4 \sqrt{3/2}
    = 3/2 . \sqrt{6} + 2 . (\sqrt{2})/(\sqrt{3}) + 4 . (\sqrt{3})/(\sqrt{2})
    = (3 \sqrt{6})/2 + ( 2 \sqrt{6})/3 + 2 \sqrt{6}
    =  (9 \sqrt{6})/6 + (4 \sqrt{6})/6 + (12 \sqrt{6})/6
    = (25 \sqrt{6})/6
     

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

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