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

Toán Lớp 9: Rút gọn biểu thức: a) √31² b) √(2-2√5)² – 2√5 c) √4a² + 2a d) √(a-3)² với a>3 e) √(4+2√3) + √3

Toán Lớp 9: Rút gọn biểu thức:
a) √31² b) √(2-2√5)² – 2√5 c) √4a² + 2a
d) √(a-3)² với a>3
e) √(4+2√3) + √3

Comments ( 1 )

  1. Giải đáp:
    a)\sqrt{31^2}
    =|31|
    =31
    b)\sqrt{(2-2\sqrt{5})^2}-2\sqrt{5}
    =|2-2\sqrt{5}|-2\sqrt{5}
    =2\sqrt{5}-2-2\sqrt{5}
    =-2
    c)C=\sqrt{4a^2}+2a
    =|2a|+2a
    Nếu a>=0=>|2a|=2a
    =>C=2a+2a=4a
    Nếu a<=0=>|2a|=-2a
    =>C=-2a+2a=0
    d)\sqrt{(a-3)^2}(a>3)
    =|a-3|
    =a-3(do\,a>3=>a-3>0)
    e)\sqrt{4+2\sqrt{3}}+\sqrt{3}
    =\sqrt{3+2.\sqrt{3}+1}+\sqrt{3}
    =\sqrt{(\sqrt{3}+1)^2}+\sqrt{3}
    =\sqrt{3}+1+\sqrt{3}=2\sqrt{3}+1.

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

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