Matematika

Pertanyaan

please kk dijawab beserta caranya
please kk dijawab beserta caranya

2 Jawaban

  • 1. 3-√2 / (5-2√2)(1+√2)
    (3-√2)(5+2√2) / 17(1+√2)
    15+6√2 -5√2 -4 / 17(1+√2)
    11+√2 / 17(1+√2)
    (11+√2)(1-√2) / -17
    11-11√2 + √2 - 2 / -17
    9-10√2 / -17
    10√2 - 9 / 17

    2. 3 3/4 x 8 3/15 x 5 1/2
    _________________
    10 -1/2 x 2 1/10 x 27 -1/12

    3 3/4 x (2³)1/5 x 5 1/2
    _________________
    5 -1/2 x 2 -1/2 x 2 1/10 x (3³)-1/12

    3 3/4 x 2 3/5 x 5
    ______________
    2 -1/2 x 2 1/10 x -1/4

    3 x 2 1/2 x 5
    ___________
    2 -1/2

    3x2x5 = 30


    3. (1+2√5)(9+√5)
    ________________
    1+√5
    9+√5 +18√5 +10
    ______________
    1+√5

    19+19√5
    ________
    1+√5

    19(1+√5)
    ________
    1+√5

    =19
  • 5)
    (3-V2)/(5-2V2)(1+V2)
    = [(3-V2)(5+2V2)(1-V2)]/[(5-2V2)(1+V2)(5+2V2)(1-V2)
    = (9-10V2)/-17
    = -1/17 (9-10V2)
    = 1/17 (10V2-9)

    6)
    (3^3/4 8^3/15 5^1/2)/(10^-1/2 2^1/10 27^-1/12)
    = (3^3/4 2^9/15 5^1/2)/(2^-1/2 5^-1/2 2^1/10 3^-3/12)
    =(3^3/4 2^3/5 5^1/2)/(2^-2/5 5^-1/2 3^-1/4)
    = (2 3 5)
    = 30

    7)
    (1+2V5)(9+V5)/(1+V5)
    = (1+2V5)(9+V5)(1-V5)/(1+V5)(1-V5)
    = -76/-4
    = 19