Rút gọn các biểu thức sau
----- Nội dung ảnh -----
**Bài 11. Rút gọn các biểu thức sau**
1. \(\frac{6 - \sqrt{6}}{\sqrt{6} - 1} + \frac{\sqrt{6}}{3 + \sqrt{3}}\)
2. \(\frac{6 - 6\sqrt{3}}{1 - \sqrt{3}} + \frac{3}{\sqrt{3} + 1}\)
3. \(\frac{3 + \sqrt{3}}{1 - \sqrt{2}}\)
4. \(\frac{\sqrt{10} - \sqrt{2}}{\sqrt{5} - 1} + \frac{2 - \sqrt{2}}{\sqrt{2} - 1}\)
5. \(\frac{\sqrt{15} - \sqrt{12}}{\sqrt{5} - 2} + \frac{6 + 2\sqrt{6}}{\sqrt{3} + \sqrt{2}}\)
6. \(\frac{3 + 2\sqrt{3}}{\sqrt{3}} - (2 + \sqrt{3})\)
7. \(\frac{1 - 5 + \sqrt{5}}{1 + \sqrt{5}}\cdot\frac{5 - \sqrt{5}}{1 - \sqrt{5}}\)
8. \(\frac{(7 - \sqrt{7})\cdot (7 + \sqrt{7} + 1)}{1 - \sqrt{7}}\)
9. \(\left(\frac{216 - 2\sqrt{3} - \sqrt{6}}{3}\right) \cdot \frac{1}{\sqrt{6}}\)
10. \(\frac{343 - 28 + 4\sqrt{7}}{3}\)
**Bài 11. Rút gọn các biểu thức sau**
1. \(\frac{6 - \sqrt{6}}{\sqrt{6} - 1} + \frac{\sqrt{6}}{3 + \sqrt{3}}\)
2. \(\frac{6 - 6\sqrt{3}}{1 - \sqrt{3}} + \frac{3}{\sqrt{3} + 1}\)
3. \(\frac{3 + \sqrt{3}}{1 - \sqrt{2}}\)
4. \(\frac{\sqrt{10} - \sqrt{2}}{\sqrt{5} - 1} + \frac{2 - \sqrt{2}}{\sqrt{2} - 1}\)
5. \(\frac{\sqrt{15} - \sqrt{12}}{\sqrt{5} - 2} + \frac{6 + 2\sqrt{6}}{\sqrt{3} + \sqrt{2}}\)
6. \(\frac{3 + 2\sqrt{3}}{\sqrt{3}} - (2 + \sqrt{3})\)
7. \(\frac{1 - 5 + \sqrt{5}}{1 + \sqrt{5}}\cdot\frac{5 - \sqrt{5}}{1 - \sqrt{5}}\)
8. \(\frac{(7 - \sqrt{7})\cdot (7 + \sqrt{7} + 1)}{1 - \sqrt{7}}\)
9. \(\left(\frac{216 - 2\sqrt{3} - \sqrt{6}}{3}\right) \cdot \frac{1}{\sqrt{6}}\)
10. \(\frac{343 - 28 + 4\sqrt{7}}{3}\)