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

Toán Lớp 9: `sqrt{2015^2+2015^2 2016^2+2016^2`

Toán Lớp 9: sqrt{2015^2+2015^2 2016^2+2016^2

Comments ( 1 )

  1. Giải đáp:
    4062241 
    Lời giải và giải thích chi tiết:
    Đặt x=2015
    ⇒ \sqrt[2015^2+2015^2.2016^2+2016^2]
    =\sqrt[x^2+x^2(x+1)^2+(x+1)^2]
    =\sqrt[x^2.(x+1)^2+2x^2+2x+1]
    =\sqrt[x^2.(x+1)^2+2x(x+1)+1]
    =\sqrt[[x(x+1)+1]^2]
    =|x(x+1)+1|
    =x(x+1)+1
    =2015(2015+1)+1
    =2015.2016+1
    =4062240+1
    =4062241

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

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