一、填空题
1. $\sqrt{40} -5\sqrt{\frac{1}{10}} +\sqrt{10} =$
2. $3\sqrt{48} -9\sqrt{\frac{1}{3}} +3\sqrt{12} =$
3. $2\sqrt{8} -6\sqrt{\frac{1}{2}} +\sqrt{32} =$
4. $2\sqrt{20} -\sqrt{5} +2\sqrt{\frac{1}{5}} =$
5. $\sqrt{12} -\sqrt{\frac{1}{3}} -\sqrt{1\frac{1}{3}} =$
6. $5\sqrt{\frac{1}{5}} -\frac{5}{4}\sqrt{\frac{4}{5}} +\sqrt{45} =$
1. $\sqrt{40} -5\sqrt{\frac{1}{10}} +\sqrt{10} =$
$\frac{5\sqrt{10}}{2}$
2. $3\sqrt{48} -9\sqrt{\frac{1}{3}} +3\sqrt{12} =$
$15\sqrt{3}$
3. $2\sqrt{8} -6\sqrt{\frac{1}{2}} +\sqrt{32} =$
$5\sqrt{2}$
4. $2\sqrt{20} -\sqrt{5} +2\sqrt{\frac{1}{5}} =$
$\frac{17\sqrt{5}}{5}$
5. $\sqrt{12} -\sqrt{\frac{1}{3}} -\sqrt{1\frac{1}{3}} =$
$\sqrt{3}$
6. $5\sqrt{\frac{1}{5}} -\frac{5}{4}\sqrt{\frac{4}{5}} +\sqrt{45} =$
$\frac{7\sqrt{5}}{2}$
答案
1.$\frac{5\sqrt{10}}{2}$
2.$15\sqrt{3}$
3.$5\sqrt{2}$
4.$\frac{17\sqrt{5}}{5}$
5.$\sqrt{3}$
6.$\frac{7\sqrt{5}}{2}$
2.$15\sqrt{3}$
3.$5\sqrt{2}$
4.$\frac{17\sqrt{5}}{5}$
5.$\sqrt{3}$
6.$\frac{7\sqrt{5}}{2}$
二、计算题
7. $\sqrt{8} - ( \frac{1}{4}\sqrt{32} - \frac{1}{5}\sqrt{50} )$
8. $\frac{1}{2}\sqrt{12} - ( 3\sqrt{\frac{1}{3}} + \sqrt{2} )$
9. $7\sqrt{12} -5\sqrt{48} +2\sqrt{\frac{1}{3}} +9\sqrt{3}$
10. $9\sqrt{5} +8\sqrt{20} -6\sqrt{80} +2\sqrt{\frac{1}{5}}$
11. $\sqrt{12} - \sqrt{5\frac{1}{3}} - \sqrt{0.27} + \sqrt{\frac{1}{3}}$
12. $2\sqrt{12} +3\sqrt{1\frac{1}{3}} - \sqrt{5\frac{1}{3}} - \frac{2}{3}\sqrt{48}$
13. $\frac{\sqrt{12}}{2} - \frac{\sqrt{18}}{3} +2\sqrt{32} - \sqrt{\frac{1}{12}}$
14. $\sqrt{50} - ( \sqrt{24} +7\sqrt{2} )$
7. $\sqrt{8} - ( \frac{1}{4}\sqrt{32} - \frac{1}{5}\sqrt{50} )$
8. $\frac{1}{2}\sqrt{12} - ( 3\sqrt{\frac{1}{3}} + \sqrt{2} )$
9. $7\sqrt{12} -5\sqrt{48} +2\sqrt{\frac{1}{3}} +9\sqrt{3}$
10. $9\sqrt{5} +8\sqrt{20} -6\sqrt{80} +2\sqrt{\frac{1}{5}}$
11. $\sqrt{12} - \sqrt{5\frac{1}{3}} - \sqrt{0.27} + \sqrt{\frac{1}{3}}$
12. $2\sqrt{12} +3\sqrt{1\frac{1}{3}} - \sqrt{5\frac{1}{3}} - \frac{2}{3}\sqrt{48}$
13. $\frac{\sqrt{12}}{2} - \frac{\sqrt{18}}{3} +2\sqrt{32} - \sqrt{\frac{1}{12}}$
14. $\sqrt{50} - ( \sqrt{24} +7\sqrt{2} )$
答案
7.$2\sqrt{2}$
8.$-\sqrt{2}$
9.$\frac{11\sqrt{3}}{3}$
10.$\frac{7\sqrt{5}}{5}$
11.$\frac{7\sqrt{3}}{10}$
12.$2\sqrt{3}$
13.$\frac{5\sqrt{3}}{6}+7\sqrt{2}$
14.$-2\sqrt{2}-2\sqrt{6}$
8.$-\sqrt{2}$
9.$\frac{11\sqrt{3}}{3}$
10.$\frac{7\sqrt{5}}{5}$
11.$\frac{7\sqrt{3}}{10}$
12.$2\sqrt{3}$
13.$\frac{5\sqrt{3}}{6}+7\sqrt{2}$
14.$-2\sqrt{2}-2\sqrt{6}$
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