1. 3 per 2akar6
2. 2akar10 per akar7-akar5
3. 2akar2+akar7 per 2akar2-akar7
Penjelasan dengan langkah-langkah:
[tex]1. \: \frac{3}{2 \sqrt{6} } \\ = \frac{3}{2 \sqrt{6} } \times \frac{2 \sqrt{6} }{2 \sqrt{6} } \\ = \frac{6 \sqrt{6} }{4 \times 6} \\ = \frac{6 \sqrt{6} }{24} \\ = \frac{1}{4} \sqrt{6} [/tex]
[tex]2. \: \frac{2 \sqrt{10} }{ \sqrt{7} - \sqrt{5} } = \frac{2 \sqrt{10} }{ \sqrt{7} - \sqrt{5} } \times \frac{ \sqrt{7} + \sqrt{5} }{ \sqrt{7} + \sqrt{5} } \\ = \frac{2 \sqrt{70} + 2 \sqrt{50} }{7 - 5} \\ = \frac{2( \sqrt{70} + \sqrt{50}) }{2} \\ = \sqrt{70} + \sqrt{50} \\ = \sqrt{70} + \sqrt{25 \times 2} \\ = \sqrt{70} + 5 \sqrt{2} [/tex]
[tex]3. \: \frac{2 \sqrt{2} + \sqrt{7} }{2 \sqrt{2} - \sqrt{7} } \\ = \frac{2 \sqrt{2} + \sqrt{7} }{2 \sqrt{2} - \sqrt{7} } \times \frac{2 \sqrt{2} + \sqrt{7} }{2 \sqrt{2} + \sqrt{7} } \\ = \frac{4 \times 2 + 2 \sqrt{14} + 2 \sqrt{14} + 7}{4 \times 2 - 7} \\ = \frac{8 + 4 \sqrt{14} + 7 }{8 - 7} \\ = 15 + 4 \sqrt{14} [/tex]
