登录
一、把下列各式化成最简二次根式(直接写出结果)
1. $\sqrt{48} =$
2. $\sqrt{500} =$
3. $\sqrt{\frac{1}{7}} =$
4. $\sqrt{0.2} =$
5. $\sqrt{(-9)^2} =$
6. $\sqrt{\frac{45}{2}} =$
7. $\sqrt{\frac{1}{3} - \frac{1}{4}} =$
8. $\sqrt{2x^2y^3} =$
1. $\sqrt{48} =$
$4\sqrt{3}$
2. $\sqrt{500} =$
$10\sqrt{5}$
3. $\sqrt{\frac{1}{7}} =$
$\frac{\sqrt{7}}{7}$
4. $\sqrt{0.2} =$
$\frac{\sqrt{5}}{5}$
5. $\sqrt{(-9)^2} =$
$9$
6. $\sqrt{\frac{45}{2}} =$
$\frac{3\sqrt{10}}{2}$
7. $\sqrt{\frac{1}{3} - \frac{1}{4}} =$
$\frac{\sqrt{3}}{6}$
8. $\sqrt{2x^2y^3} =$
$xy\sqrt{2y}$
$(x ≥ 0, y ≥ 0)$答案
1. $4\sqrt{3}$
2. $10\sqrt{5}$
3. $\frac{\sqrt{7}}{7}$
4. $\frac{\sqrt{5}}{5}$
5. $9$
6. $\frac{3\sqrt{10}}{2}$
7. $\frac{\sqrt{3}}{6}$
8. $xy\sqrt{2y}$
2. $10\sqrt{5}$
3. $\frac{\sqrt{7}}{7}$
4. $\frac{\sqrt{5}}{5}$
5. $9$
6. $\frac{3\sqrt{10}}{2}$
7. $\frac{\sqrt{3}}{6}$
8. $xy\sqrt{2y}$
二、把下列各式化成最简二次根式
9. $\sqrt{25a^3}\ (a≥0)$
10. $\frac{\sqrt{3}}{\sqrt{5}}$
11. $\sqrt{0.3}$
12. $\frac{1}{2}\sqrt{13^2 - 11^2}$
13. $\frac{\sqrt{8}}{\sqrt{2a}}\ (a＞0)$
14. $\sqrt{0.4×0.49}$
15. $\sqrt{\frac{b^4}{18}}$
16. $\sqrt{\frac{0.01×81}{0.25×144}}$
9. $\sqrt{25a^3}\ (a≥0)$
10. $\frac{\sqrt{3}}{\sqrt{5}}$
11. $\sqrt{0.3}$
12. $\frac{1}{2}\sqrt{13^2 - 11^2}$
13. $\frac{\sqrt{8}}{\sqrt{2a}}\ (a＞0)$
14. $\sqrt{0.4×0.49}$
15. $\sqrt{\frac{b^4}{18}}$
16. $\sqrt{\frac{0.01×81}{0.25×144}}$
答案
9. $5a\sqrt{a}$
10. $\frac{\sqrt{15}}{5}$
11. $\frac{\sqrt{30}}{10}$
12. $2\sqrt{3}$
13. $\frac{2\sqrt{a}}{a}$
14. $\frac{7\sqrt{10}}{50}$
15. $\frac{\sqrt{2}b^2}{6}$
16. $\frac{3}{20}$
10. $\frac{\sqrt{15}}{5}$
11. $\frac{\sqrt{30}}{10}$
12. $2\sqrt{3}$
13. $\frac{2\sqrt{a}}{a}$
14. $\frac{7\sqrt{10}}{50}$
15. $\frac{\sqrt{2}b^2}{6}$
16. $\frac{3}{20}$
