Matematika

Pertanyaan

A. 12√27-2√48+√75= b.(3√5-√50) ×√160= yang ke c ada per nya jadi cerita aja ya. Akar 63 per akar 28 dikali (√7+√112)= tolong ya

2 Jawaban

  • a) 12√9.3 - 2√16.3 + √25.3
    = 12×3√3 - 2×4√3 + 5√3
    = 36√3 - 8√3 + 5√3
    = 33√3

    b) (3√5 - √50)×√160
    (3√5 - √25.2) × √16.10
    = (3√5 - 5√2) × 4√10
    = 3×4√(5×10) - 4×5√(2×10)
    = 12√50 - 20√20
    = 12√25.2 - 20√4.5
    = 12×5√2 - 20×2√5
    = 60√2 - 40√5

    c) {√63/√28} × (√7 + √112)
    = √(63/28) × (√7 + √16.7)
    = √(9/4) × (√7 + 4√7)
    = 3/2 × 5√7
    = 15/2 √7
  • a)
    12V27 - 2V48 + V75
    = 12V(9 × 3) - 2V(16 × 3) + V(25 × 3)
    = (12 × 3)V3 - (2 × 4)V3 + 5V3
    = 36V3 - 8V3 + 5V3
    = 33V3

    b)
    (3V5 - V50) × V160
    = (3V5 × V160) - (V50 × V160)
    = 3V800 - V8000
    = 3V(400 × 2) - V(1600 × 5)
    = (3 × 20)V2 - 40V5
    = 60V2 - 40V5

    c)
    V63/V28 × (V7 + V112)
    = V(9×7)/V(4×7) × (V7 × V(16×7))
    = 3V7/2V7 × (V7 + 4V7)
    = 3/2 × 5V7
    = (15/2)V7

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