2√6 + 4√3(√32 - √72) = A. 6√6 B. 4√6 C. √6 D. -6√6 E. -8√6
Matematika
Maulana9855
Pertanyaan
2√6 + 4√3(√32 - √72) =
A. 6√6
B. 4√6
C. √6
D. -6√6
E. -8√6
A. 6√6
B. 4√6
C. √6
D. -6√6
E. -8√6
1 Jawaban
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1. Jawaban ryantian17
[tex]2 \sqrt{6} + 4 \sqrt{3} ( \sqrt{32 } - \sqrt{72} ) \\ = 2 \sqrt{6} + 4 \sqrt{3} ( \sqrt{16 \times 2} - \sqrt{36 \times 2} ) \\ = 2 \sqrt{6} + 4 \sqrt{3} (4 \sqrt{2} - 6 \sqrt{2} ) \\ = 2 \sqrt{6 } + 4 \sqrt{3} ( - 2 \sqrt{2} ) \\ = 2 \sqrt{6} - 8 \sqrt{6} \\ = - 6 \sqrt{6} [/tex]
jadi jawabannya D
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