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Matematika
belleza3
Pertanyaan
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1 Jawaban
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1. Jawaban yuvindnt
1.[tex] \frac{8 \sqrt{6} }{ \sqrt{8} } \times \frac{ \sqrt{8} }{ \sqrt{8} } = \frac{8 \sqrt{48} }{8} = \sqrt{48} [/tex]
2.[tex] \frac{5}{2 \sqrt{5} + \sqrt{3} } \times \frac{2 \sqrt{5} - \sqrt{3} } {2 \sqrt{5} - \sqrt{3} } = \frac{10 \sqrt{5} - 5 \sqrt{3} }{(2 \sqrt{5} \times 2 \sqrt{5} ) - (2 \sqrt{5 \times \sqrt{3} } ) + ( \sqrt{3} \times 2 \sqrt{5} ) - 3} = \frac{10 \sqrt{5} - 5 \sqrt{3} }{20 - 2 \sqrt{15} + 2 \sqrt{15} - 3 } = \frac{10 \sqrt{5} - 5 \sqrt{3} }{20 - 3} = \frac{10 \sqrt{5 } - 5 \sqrt{3} }{17} [/tex]
3.[tex] \frac{7 \sqrt{3} }{2 \sqrt{5} - \sqrt{2} } \times \frac{2 \sqrt{5} + \sqrt{2} }{2 \sqrt{5} + \sqrt{2} } = \frac{14 \sqrt{15} + 7 \sqrt{6} }{(2 \sqrt{5} \times 2 \sqrt{5} ) + (2 \sqrt{5} \times \sqrt{2 } ) - ( \sqrt{2} \times 2 \sqrt{5} ) - 2} = \frac{14 \sqrt{15} + 7 \sqrt{6} }{20 + 2 \sqrt{10} - 2 \sqrt{10} - 2 } = \frac{14 \sqrt{15} + 7 \sqrt{6} }{20 - 2} = \frac{14 \sqrt{15} +7 \sqrt{6} }{18} [/tex]
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