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

Toán Lớp 9: CM : √(6+2 √5) / ( √5+1) = √(5-2 √6) / ( √3- √2)

Toán Lớp 9: CM : √(6+2 √5) / ( √5+1) = √(5-2 √6) / ( √3- √2)

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    sqrt(6+2sqrt5)/(sqrt5+1)
    =sqrt(5+2sqrt5+1)/(sqrt5+1)
    =sqrt((sqrt5)^2+2*sqrt5*1+1^2)/(sqrt5+1)
    =sqrt[(sqrt5+1)^2]/(sqrt5+1)=|sqrt5+1|/(sqrt5+1)
    =(sqrt5+1)/(sqrt5+1)=1
    sqrt(5-2sqrt6)/(sqrt3-sqrt2)
    =sqrt(3-2sqrt6+2)/(sqrt3-sqrt2)
    =sqrt(3-2*sqrt3*sqrt2+2)/(sqrt3-sqrt2)
    =sqrt[(sqrt3)^2-2sqrt3*sqrt2+(sqrt2)^2]/(sqrt3-sqrt2)
    =sqrt[(sqrt3-sqrt2)^2]/(sqrt3-sqrt2)
    =|sqrt3-sqrt2|/(sqrt3-sqrt2)=(sqrt3-sqrt2)/(sqrt3-sqrt2)=1
    Vậy sqrt(6+2sqrt5)/(sqrt5+1)=sqrt(5-2sqrt6)/(sqrt3-sqrt2)
     

  2. Giải đáp + Các bước giải:

    toan-lop-9-cm-6-2-5-5-1-5-2-6-3-2

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

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