Matematika

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hasil fari 3√2 kali √75 :√54

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  • [tex]3 \sqrt{2} \times \sqrt{75} \div \sqrt{54} \\ \\ \sqrt{75} = \sqrt{25 \times 3} = 5 \sqrt{3} \\ \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} \\ \\ 3 \sqrt{2} \times 5 \sqrt{3} = 15 \sqrt{6} \\ \\ \frac{ 15 \sqrt{6} }{3 \sqrt{6} } = \frac{15 \sqrt{6} }{3 \sqrt{6} } \times \frac{3 \sqrt{6} }{3 \sqrt{6} } = \frac{45 \times 6}{9 \times 6} = \frac{270}{54} = 5[/tex]

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