Sederhanakan lah 2akar5 per 3akar2-akar6
Matematika
salsaaja1
Pertanyaan
Sederhanakan lah 2akar5 per 3akar2-akar6
1 Jawaban
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1. Jawaban AlfandyGulo
[tex] = \frac{2 \sqrt{5} }{3 \sqrt{2} - \sqrt{6} } \\ = \frac{2 \sqrt{5} }{3 \sqrt{2} - \sqrt{6} } \times \frac{3 \sqrt{2} + \sqrt{6} }{3 \sqrt{2} + \sqrt{6} } \\ = \frac{6 \sqrt{10} + 2 \sqrt{30} }{18 - 6} \\ = \frac{6 \sqrt{10} + 2 \sqrt{30} }{12} \\ = \frac{1}{2} \sqrt{10} + \frac{1}{6} \sqrt{30} [/tex]