Matematika

Pertanyaan

tolong dong pliss makasih
tolong dong pliss makasih

1 Jawaban

  • a) = {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

    b) 4/(√3+√2) + 5/(√3-√2) - 3/(√2-1)
    kerjain yg depan 2 dulu
    = {4(√3-√2)+5(√3+√2)}/(3-2) - 3/(√2-1)
    = (4√3-4√2+5√3+5√2)/1 - 3/(√2-1)
    = (9√3 + √2) - 3/(√2 - 1)
    baru kerjain sama yg belakangnya
    = {(9√3+√2)(√2-1) - 3}/(√2-1)
    = (9√6-9√3+2-√2-3) / (√2-1)
    = (9√6 - 9√3 - √2 - 1) / (√2-1) × (√2+1)/(√2+1)
    = (9√12-9√6-2-√2+9√6-9√3-√2-1) / (2-1)
    = 9√12 - 9√3 - 2√2 - 3
    = 18√2 - 9√3 - 2√2 - 3
    = 9√3 - 2√2 - 3