Matematika

Pertanyaan

Jika a 2+√3÷2-√3 dan b 2-√3÷2+√3 carilah √a +√b

2 Jawaban

  • a = 2+√3÷2-√3
    = 2÷2 (√3-√3)
    = 1

    b = 2-√3÷2+√3
    = 2÷2 (-√3+√3)
    = 1

    √a+√b = 1+1 = 2

  • a = (2+V3)/(2-V3)
    a = [(2+V3)/(2-V3)] × [(2+V3)/(2+V3)]
    a = [(2+V3)^2]/(4-3)
    a = [(2+V3)^2]/1
    a = (2+V3)^2

    b = (2-V3)/(2+V3)
    b = [(2-V3)/(2+V3)] × [(2-V3)/(2-V3)]
    b = [(2-V3)^2]/(4-3)
    b = [(2-V3)^2]/1
    b = (2-V3)^2

    Va + Vb
    = V(2+V3)^2 + V(2-V3)^2
    = 2+V3 + 2-V3
    = 2 + 2 + V3 - V3
    = 4

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