Bentuk sederhana dari [tex]4 \sqrt{27} + 2 \sqrt{75} - 3 \sqrt{48} + 5 \sqrt{12} [/tex]
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Pertanyaan
Bentuk sederhana dari
[tex]4 \sqrt{27} + 2 \sqrt{75} - 3 \sqrt{48} + 5 \sqrt{12} [/tex]
[tex]4 \sqrt{27} + 2 \sqrt{75} - 3 \sqrt{48} + 5 \sqrt{12} [/tex]
1 Jawaban
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1. Jawaban Sharon
[tex]4 \sqrt{27} + 2 \sqrt{75} - 3 \sqrt{48} + 5 \sqrt{12} \\ = 4 \sqrt{9 \times 3} + 2 \sqrt{25 \times 3} - 3 \sqrt{16 \times 3} + 5 \sqrt{4 \times 3} \\ = 4 \times 3 \sqrt{3} + 2 \times 5 \sqrt{3} - 3 \times 4 \sqrt{3} + 5 \times 2 \sqrt{3} \\ = 12 \sqrt{3} + 10 \sqrt{3} - 12 \sqrt{3} + 10 \sqrt{3} \\ = 22 \sqrt{3} - 2 \sqrt{3} \\ = 20 \sqrt{3} [/tex]