Matematika

Pertanyaan

Sederhanakan

1.) √a6b2c3
2.)√27ab3c7

2 Jawaban

  • Mapel : Matematika
    Kelas : IX SMP
    Bab : Eksponen

    Pembahasan :
    √[a⁶b²c³]
    = (a⁶b²c³]^1/2
    = a³bc^3/2

    ————————————————
    √[27ab³c^7]
    = [9.3 ab³c^7]^1/2
    = 3√[3ab³c^7]
  • √(a^6 b^2 c^3)
    = (a^6 b^2 c^3)^(1/2)
    = a^(6/2) . b^(2/2) . c^(3/2)
    = a^3 . b . c^(3/2)
    = a^3 . b. c√c

    √(27ab^3 c^7)
    = (3^3 . a.b^3 . c^7)^(1/2)
    = 3^(3/2) . a . b^(3/2) . c^(7/2)
    = 3√3 . a . b√b . c^3 . √c
    = 3ac^3 √(3bc)

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