一、填空题
1. $\frac{\sqrt{3} × \sqrt{12}}{\sqrt{2}} =$
2. $\sqrt{6} × ( \frac{1}{\sqrt{3}} - \sqrt{3} ) =$
3. $\sqrt{45} - \sqrt{\frac{1}{2}} × \sqrt{10} =$
4. $\sqrt{5} × \sqrt{15} - \frac{1}{3}\sqrt{48} =$
5. $\sqrt{24} × \sqrt{\frac{1}{3}} - 4 × \sqrt{\frac{1}{8}} =$
6. $(6\sqrt{3} - 3\sqrt{6}) ÷ 2\sqrt{3} =$
7. $-\sqrt{18} × \sqrt{30} ÷ 2\sqrt{3} =$
8. $\sqrt{8} × \sqrt{6} - 3\sqrt{\frac{4}{3}} =$

1. $3\sqrt{2}$
2. $-2\sqrt{2}$
3. $2\sqrt{5}$
4. $\frac{11\sqrt{3}}{3}$
5. $\sqrt{2}$
6. $3-\frac{3\sqrt{2}}{2}$
7. $-3\sqrt{5}$
8. $2\sqrt{3}$

二、计算题
9. $(\sqrt{18}-\sqrt{12}+\sqrt{2}) × 2\sqrt{16}$
10. $(2\sqrt{3}-5\sqrt{2})(\sqrt{3}-2\sqrt{2})$
11. $( \frac{\sqrt{3}}{3} - \sqrt{2} )( \frac{\sqrt{2}}{2} + \sqrt{3} )$
12. $(2\sqrt{10}-\sqrt{5})^2$
13. $(-3+2\sqrt{5})(-2\sqrt{5}-3)$
14. $(-2\sqrt{2}+3\sqrt{7})(2\sqrt{2}-3\sqrt{7})$
15. $\sqrt{12}-\sqrt{3} ÷ (2+\sqrt{3})$
16. 一题多解 $(4+2\sqrt{5})^2(4-2\sqrt{5})^2$

9. $32\sqrt{2}-16\sqrt{3}$
10. $26-9\sqrt{6}$
11. $-\frac{5\sqrt{6}}{6}$
12. $45-20\sqrt{2}$
13. $-11$
14. $-71+12\sqrt{14}$
15. $3$
16. 解法一 原式$=[(4+2\sqrt{5})(4-2\sqrt{5})]^2=(-4)^2=16.$
解法二 原式$=(16+16\sqrt{5}+20)(16-16\sqrt{5}+20)=(36+16\sqrt{5})(36-16\sqrt{5})=36^2-(16\sqrt{5})^2=16.$