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

Toán Lớp 9: Tính a , √27000/ √ 3000 b, √259/296 c, √882/121 d, √45mn/ √20mn (m>0,n>0) đ, √16a^4b^6/128a^6b^6

Toán Lớp 9: Tính
a , √27000/ √ 3000
b, √259/296
c, √882/121
d, √45mn/ √20mn (m>0,n>0)
đ, √16a^4b^6/128a^6b^6

Comments ( 2 )

  1. Lời giải :
    a,
    \sqrt27000/\sqrt3000=\sqrt{\frac{27000}{3000}}=\sqrt{9}=3
    b,
    \sqrt{\frac{259}{296}}=\sqrt{\frac{7}{8}}=\sqrt{7}/(2\sqrt{2})=\sqrt{14}/4
    c,
    \sqrt{\frac{882}{121}}=\sqrt{882}/\sqrt{121}=(21\sqrt{2})/11
    d,
    \sqrt{45mn}/\sqrt{20mn}=\sqrt{\frac{45mn}{20mn}}=\sqrt{\frac{9}{4}}=\sqrt9/\sqrt4=3/2
    đ,
    \sqrt{\frac{16a^4b^6}{128a^6b^6}}=\sqrt{\frac{1}{8a^2}}=\sqrt 1/\sqrt{8a^2}=1/(2\sqrt{2}|a|)

  2. a)
    \sqrt{27000}/\sqrt{3000}
    = \sqrt{27000/3000}
    = \sqrt{27/3}
    = \sqrt{9}
    = 3
    b)
    \sqrt{259/296}
    = \sqrt{(259 : 37)/(296 : 37)}
    = \sqrt{7/8}
    = \sqrt{14}/4
    c)
    \sqrt{882/121}
    = \sqrt{882}/\sqrt{121}
    = \sqrt{882}/11
    = (7\sqrt{18})/11
    = (21\sqrt{2})/11
    d)
    \sqrt{45mn}/\sqrt{20mn}
    = \sqrt{(45mn)/(20mn)}
    = \sqrt{45/20}
    = \sqrt{9/4}
    = 3/2
    đ)
    \sqrt{16a^4b^6}/(128a^6b^6)
    = \sqrt{(4a^2b^3)^2}/(128a^6b^6)
    = (4a^2b^3)/(128a^6b^6)
    = 1/(32a^4b^3)

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