Sederhanakan pecahan-pecahan berikut dengan merasionalkan penyebut 4 dikurang akar 5 per akar 3 dikurang 2
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[tex]\frac{4 - \sqrt{5}}{\sqrt{3} - 2} = \frac{4 - \sqrt{5}}{\sqrt{3} - 2} \times \frac{\sqrt{3} + 2}{\sqrt{3} + 2} = \frac{(4 - \sqrt{5})(\sqrt{3} + 2)}{(\sqrt{3} - 2)(\sqrt{3} + 2)} [/tex]
[tex]= \frac{4 \sqrt{3} + 8 - \sqrt{15} - 2 \sqrt{5}}{\sqrt{9} + 2 \sqrt{3} - 2 \sqrt{3} - \sqrt{4}} [/tex]
[tex]= \frac{4 \sqrt{3} + 8 - \sqrt{15} - 2\sqrt{5}}{\sqrt{9} - \sqrt{4}} [/tex]
[tex]= \frac{4 \sqrt{3} + 8 - \sqrt{15} - 2\sqrt{5}}{3 - 2} [/tex]
[tex]= \frac{4 \sqrt{3} + 8 - \sqrt{15} - 2 \sqrt{5}}{1} = 8 + 4 \sqrt{3} - 2 \sqrt{5} - \sqrt{15} [/tex]
[answer.2.content]
