Matematika

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bentuk sederhana dari 2√8+√+18-1/4√32+√200
bentuk sederhana dari 2√8+√+18-1/4√32+√200

2 Jawaban


  • [tex]2 \sqrt{8} + \sqrt{18} - \frac{1}{4} \sqrt{32} + \sqrt{200} \\ = 2 \sqrt{4.2} + \sqrt{9.2} - \frac{1}{4} \sqrt{16.2} + \sqrt{100.2 } \\ = 4 \sqrt{2} + 3 \sqrt{2} - \sqrt{2} + 10 \sqrt{2} \\ = 6 \sqrt{2} + 10 \sqrt{2} \\ = 16 \sqrt{2} [/tex]

  • [tex]2 \sqrt{8} + \sqrt{18} - \frac{1}{4} \sqrt{32} + \sqrt{200} \\ = 2( \sqrt{4} \times \sqrt{2}) + ( \sqrt{9} \times \sqrt{2} ) - \frac{1}{4} \\ ( \sqrt{16} \times \sqrt{2} ) + ( \sqrt{100} \times \sqrt{2} ) \\ = 2 \times 2 \sqrt{2} + 3 \sqrt{2} - 0.25 \times 4 \sqrt{2} + 10 \sqrt{2} \\ = 4 \sqrt{2} + 3 \sqrt{2} - \sqrt{2} + 10 \sqrt{2} \\ = 16 \sqrt{2} [/tex]
    Option D.
    Semoga bermanfaat.....
    -Prisco