tolong jawab ya kakak.........
Matematika
farid4444
Pertanyaan
tolong jawab ya kakak.........
1 Jawaban
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1. Jawaban 2precis3
[tex]\frac{3\sqrt{5} - \sqrt{3}}{\sqrt{15} - 1} \\ = \frac{3\sqrt{5} - \sqrt{3}}{\sqrt{15} - 1} \times \frac{\sqrt{15} + 1}{\sqrt{15} + 1}\\ = \frac{\left ( 3\sqrt{5} - \sqrt{3} \right ) \left ( \sqrt{15} + 1 \right )}{15-1} \\ = \frac{3\sqrt{5\cdot15} + 3\sqrt{5} - \sqrt{3\cdot15}-\sqrt{3}}{14}\\ = \frac{3\sqrt{3\cdot5^2}+3\sqrt{5}-\sqrt{3^2\cdot5}-\sqrt{3}}{14} \\ = \frac{15\sqrt{3}+3\sqrt{5}-3\sqrt{5}-\sqrt{3}}{14} \\ = \frac{14\sqrt{3}}{14} = \sqrt{3}[/tex]