Matematika

Pertanyaan

A. 6√48 - 3√12 + 5√27=
B. 7√50 - 2√18 - 2√32=
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2 Jawaban

  • Mapel : Matematika
    Bab : Menyederhakan Bentuk Akar

    A]
    6√48 - 3√12 + 5√27
    = 6√16x3 - 3√4x3 + 5√9x3
    = 24√3 - 6√3 + 15√3
    = 18√3 + 15√3
    = 33√3

    B]
    7√50 - 2√18 - 2√32
    = 7√25x2 - 2√9x2 - 2√16x2
    = 35√2 - 6√2 - 8√2
    = 29√2 - 8√2
    = 21√2

  • [tex]6 \sqrt{48} - 3 \sqrt{12} + 5 \sqrt{27} \\ = 6 \sqrt{16 \times 3} - 3 \sqrt{4 \times 3} + 5 \sqrt{9 \times 3} \\ = 6.4 \sqrt{3} - 3.2 \sqrt{3} + 5.3 \sqrt{3} \\ = 24 \sqrt{3} - 6 \sqrt{3} + 15 \sqrt{3} \\ = 33 \sqrt{3} [/tex]

    [tex]7 \sqrt{50} - 2 \sqrt{18} - 2 \sqrt{32} \\ = 7 \sqrt{25 \times 2} - 2 \sqrt{9 \times 2} - 2 \sqrt{16 \times 2} \\ = 7.5 \sqrt{2} - 2.3 \sqrt{2} - 2.4 \sqrt{2} \\ = 35 \sqrt{2} - 6 \sqrt{2} - 8 \sqrt{2} \\ = 21 \sqrt{2} [/tex]

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