Matematika

Pertanyaan

Hasil dari [tex] \sqrt{24} + \sqrt{27} - \sqrt{96} [/tex] adalah...
A. [tex]3 \sqrt{3} - 2 \sqrt{6} [/tex]
B. [tex]-2 \sqrt{6} - 3 \sqrt{3} [/tex]
C. [tex]\sqrt{3} - \sqrt{6} [/tex]
D. [tex]\sqrt{3} - \sqrt{2} [/tex]

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2 Jawaban

  • √24+√27 -√96
    = √4.6 + √ 9.3 - √16.6
    = √4.√6 + √9.√3 - √16.√6
    = 2√6 + 3√3 - 4√6
    = -2√6 +3√3....A)
  • [tex] \sqrt{24} + \sqrt{27} - \sqrt{96} \\ = \sqrt{4 X 6} + \sqrt{9 X 3} - \sqrt{16 X 6} \\ = 2 \sqrt{6} + 3 \sqrt{3} - 4 \sqrt{6} \\ = 2 \sqrt{6} - 4 \sqrt{6} + 3 \sqrt{3} \\ = -2 \sqrt{6} + 3 \sqrt{3} \\ = 3 \sqrt{3} - 2 \sqrt{6} [/tex]
    (A)

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