Matematika

Pertanyaan

Rasionalkan dan sederhanakan pecahan berikut
a) 2√30 - 3√70
——————— =
√10

b) 3√3 - 2√2
—————— =
2√3 - 4√2

c) 2+√3
—————— =
(2-√3) (1+√3)

d) 2
—————— =
√2+√3-√5

1 Jawaban

  • cara: note:/=per
    a)
    =(2√30-3√70)√10/10
    =2√300-3√700/10
    =2×10√3-3×10√7/10
    =20√3-30√7/10
    =10(2√3-3√7)/10
    =2√3-3√7 atau -4.47315

    b)
    =√2/2√3-4√2
    =√2×(2√3+4√2)/-20
    =√2×2(√3+2√2)/-20
    =√2×(√3+2√2)/-10
    =√6+4/-10
    =-√6+4/10 atau -0.644949

    c)
    =2+√3/2+2√3-√3-3
    =2+√3/-1+√3
    =(2+√3)×(√3+1)/2
    =2√3+2+3+√3/2
    =3√3+5/2 atau 5.09808

    d)
    =2/√2+√3-√5
    =2/0,910196
    =2/910196/1000000
    =2×1000000/910196
    =1000000/455098
    =500000/227549
    =2 44902/227549 atau 2,19733

    semoga membantu :)


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