Matematika

Pertanyaan

1. 2√18 + √32 - 4√8
2. 5√20 + √80 - 2√45
3. 4√18 : 3√12
4. 2√12 x √18

1 Jawaban

  • 1.
    2√18 + √32 - 4√8
    =2√9×2 + √16×2 - 4√4×2
    =2×3√2 + 4√2 - 4×2√2
    =6√2 + 4√2 - 8√2
    =2√2

    2.
    5√20 + √80 - 2√45
    =5√4×5 + √16×5 - 2√9×5
    =5×2√5 + 4√5 - 2×3√5
    =10√5 + 4√5 - 6√5
    =8√5

    3.
    4√18 : 3√12
    =4√9×2 : 3√4×3
    =4×3√2 : 3×2√3
    =12√2 : 6√3
    =12√2 / 6√3
    =2√2 / √3
    =2√2 / √3 × √3 / √3 (dirasionalkan)
    =2√6 /√9
    =2√6 / 3
    =2/3√6

    4.
    2√12 × √18
    =2√4×3 × √9×2
    =2×2√3 × 3√2
    =4√3 × 3√2
    =12√6

    Semoga bisa membantu...

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