Matematika

Pertanyaan

tolong jawab pake cara ya
tolong jawab pake cara ya

1 Jawaban

  • caranya a/b + c/d = (ad - cb)/bd
    a) 5/√75 - 1/(2-√3)
    = 5/5√3 - 1/(2-√3)
    = 1/√3 - 1/(2-√3)
    = {1(2-√3) - 1(√3)} / (√3)(2-√3)
    = {2 - √3 - √3} / (2√3-3)
    = (2 - 2√3) / (2√3-3) rasionalkan
    = (4√3 + 6 - 12 - 6√3) / (12 - 9)
    = (-2√3 - 6) / 2

    b) = {7(2-√8) + 11(2+√8)} / (2-√8)(2+√8)
    = (14 - 7√8 + 22 + 11√8) / (4-8)
    = (36 + 4√8) / -4
    = -9 - √8
    = -9 - 2√2

    c)
    = 4((√2) - 1)(√3 - √2) - 3(√3+√2)(√3-√2) + 5(√3+√2)((√2) - 1)) / (√3+√2)((√2) - 1)(√3-√2)
    = 4((√6) - 2 - (√3) - (√2)) - 3(3-2) + 5((√6) - (√3) + 2 - (√2) / ((√2) - 1)
    = (4√6 - 8 - 4√3 - 4√2 - 3 + 5√6 - 5√3 + 10 - 5√2) / ((√2) - 1)
    = (9√6 - 9√3 - 9√2 - 1) / ((√2) - 1)
    rasionalkan
    = (9√12 - 9√6 - 9(2) - √2 + 9√6 - 9√3 - 9√2 - 1) / 2-1
    = 18√3 - 9√3 - 10√2 - 19
    = 9√3 - 10√2 - 19