Bentuk sederhana dari 3/√3-√5 adalah ..
Matematika
amiraliaaaniluai
Pertanyaan
Bentuk sederhana dari 3/√3-√5 adalah ..
1 Jawaban
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1. Jawaban msandyka
Jika soalnya [tex]\frac{3}{\sqrt{3}} - \sqrt{5}[/tex]
[tex]\frac{3}{\sqrt{3}}-\sqrt{5} = \frac{3 - \sqrt{15}}{\sqrt{3}} \\ \frac{3}{\sqrt{3}}-\sqrt{5} = \frac{3 - \sqrt{15}}{\sqrt{3}} \frac{\sqrt{3}}{\sqrt{3}} \\ \frac{3}{\sqrt{3}}-\sqrt{5} = \frac{3\sqrt{3}-\sqrt{45}}{3} \\ \frac{3}{\sqrt{3}}-\sqrt{5} = \frac{3\sqrt{3}- 3\sqrt{5}}{3} \\ \frac{3}{\sqrt{3}}-\sqrt{5} = \frac{3(\sqrt{3}-\sqrt{5})}{3} \\ \frac{3}{\sqrt{3}}-\sqrt{5} = \sqrt{3} - \sqrt{5}[/tex]
Jika soalnya [tex]\frac{3}{\sqrt{3} - \sqrt{5}}[/tex]
[tex]\frac{3}{\sqrt{3} - \sqrt{5}} = \frac{3}{\sqrt{3} - \sqrt{5}}\frac{\sqrt{3} + \sqrt{5}}{\sqrt{3} + \sqrt{5}} \\ \frac{3}{\sqrt{3} - \sqrt{5}} = \frac{3\sqrt{3} + 3\sqrt{5}}{3 - 5} \\ \frac{3}{\sqrt{3} - \sqrt{5}} = \frac{3(\sqrt{3} + \sqrt{5})}{-2} \\ \frac{3}{\sqrt{3} - \sqrt{5}} = -\frac{3}{2} (\sqrt{3} +\sqrt{5})[/tex]