Matematika

Pertanyaan

rasional kan lah/sederhanakan

Plisss jawab
rasional kan lah/sederhanakan Plisss jawab

1 Jawaban

  • 1.
    3√5 - 2√3 / 2√2
    =3√5 - 2√3 / 2√2 × 2√2 / 2√2
    =6√10 - 4√6 / 4√4
    =6√10 - 4√6 / 4×2
    =6√10 - 4√6 / 8
    =6/8 √10 - 4/8 √6
    =3/4 √10 - 1/2 √6

    2.
    4√3 - 5√5 / 3√6 + 2√3
    =4√3 - 5√5 / 3√6 + 2√3 × 3√6 - 2√3 / 3√6 - 2√3
    =(4√3 - 5√5)(3√6 - 2√3) / (3√6 + 2√3)(3√6 - 2√3)
    =12√18 - 8√9 - 15√30 + 10√15 / 9√36 - 6√18 + 6√18 - 4√9
    =12√9×2 - 8×3 - 15√30 + 10√15 / 9×6 - 0 4×3
    =12×3√2 - 24 - 15√30 + 10√15 /54 - 12
    =36√2 - 24 - 15√30 + 10√15 / 42
    =36/42 √2 - 24/42 - 15/42 √30 + 10/42 √15
    =6/7 √2 - 4/7 - 5/14 √30 + 5/21 √15

    3.
    2√3 - 2√2 / 3√2 - 2
    =2√3 - 2√2 / 3√2 - 2 × 3√2 + 2 / 3√2 + 2
    =(2√3 - 2√2)(3√2 + 2) / (3√2 - 2)(3√2 + 2)
    =6√6 + 4√3 - 6√4 - 4√2 / 9√4 + 6√2 - 6√2 - 4
    =6√6 + 4√3 - 6×2 - 4√2 / 9×4 - 0 - 4
    =6√6 + 4√3 - 12 - 4√2 / 36 - 4
    =6√6 + 4√3 - 12 - 4√2 / 32
    =6/32 √6 + 4/32 √3 - 12/32 - 4/32 √2
    =3/16 √6 + 1/8 √3 - 3/8 - 1/8 √2

    Semoga bisa membantu...