Matematika

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Sederhanakanlah penyebut dari 10 per √8 - √6 adalah

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  • [tex] \frac{10}{ \sqrt{8} \: - \sqrt{6} } \\ = \frac{10}{ \sqrt{8} \: - \sqrt{6} } \times \frac{ \sqrt{8} \: + \sqrt{6} }{\sqrt{8} \: + \sqrt{6}} \\ = \frac{10( \sqrt{8} + \sqrt{6)} }{8 - 6} \\ = \frac{10( \sqrt{8} + \sqrt{6} )}{2} \\ = 5( \sqrt{8} + \sqrt{6} ) \\ = 5 \sqrt{8} + 5 \sqrt{6} \\ = 5 \sqrt{(4 \times 2)} + 5 \sqrt{6} = 10 \sqrt{2} + 5 \sqrt{6} [/tex]

  • [tex] \frac{10}{ \sqrt{8} - \sqrt{6} } \\ = \frac{10}{ \sqrt{4 \times 2} - \sqrt{6} } \\ = \frac{10}{2 \sqrt{2} - \sqrt{6} } \\ = \frac{10(2 \sqrt{2} + \sqrt{6} )}{2} \\ = 5(2 \sqrt{2} + \sqrt{6} ) \\ = 10 \sqrt{2} + 5 \sqrt{6} [/tex]

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