Matematika

Pertanyaan

selesaikan operasi akar berikut !!
a) 2√2 + 4√8 - 2√27
b) 3 √12 - 5 √ 48 + 2√75
c) √2 × √12
d) √6 ×√ 18

2 Jawaban

  • a. 2√2+4√8-2√27
    = 2√2+8√2-6√3
    = 10√2-6√3

    b. 3√12-5√48+2√75
    = 6√3-20√3+10√3
    = -4√3

    c. √2×√12
    = √24
    = 2√6

    d. √6×√18
    = √108
    = 6√3
  • a. 2√2 + 4√8 - 2√27 = 2√2 + 4√(4x2) - 2√(9x3) = 2√2 + (4 x √4 x √2) - (2 x √9 x √3) = 2√2 + 8√2 - 9√3 = 10√2 - 9√3
    b. 3√12 - 5√48 + 2√75 = (3 x √4 x √3) - (5 x √16 x √3) + (2 x √25 x √3) = 6√3 - 20√3 + 10√3 = -4√3
    c. √2 x √12 = √(2 x 12) = √24 = √4 x √6 = 2√6
    d. √6 x √18 = √(6 x 18) = √108 = √36 x √3 = 6√3

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