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一、把下列各式化成最简二次根式(直接写出结果)
1. $\sqrt{12} =$
2. $\sqrt{45} =$
3. $\sqrt{(-3)^2} =$
4. $\sqrt{\dfrac{2}{3}} =$
5. $\sqrt{0.4} =$
6. $\sqrt{4\dfrac{1}{2}} =$
7. $\dfrac{6}{\sqrt{5}} =$
8. $\sqrt{a^2b^3} =$
1. $\sqrt{12} =$
$2\sqrt{3}$
2. $\sqrt{45} =$
$3\sqrt{5}$
3. $\sqrt{(-3)^2} =$
$3$
4. $\sqrt{\dfrac{2}{3}} =$
$\dfrac{\sqrt{6}}{3}$
5. $\sqrt{0.4} =$
$\dfrac{\sqrt{10}}{5}$
6. $\sqrt{4\dfrac{1}{2}} =$
$\dfrac{3\sqrt{2}}{2}$
7. $\dfrac{6}{\sqrt{5}} =$
$\dfrac{6\sqrt{5}}{5}$
8. $\sqrt{a^2b^3} =$
$ab\sqrt{b}$
$(a≥0,b≥0)$答案
1. $2\sqrt{3}$
2. $3\sqrt{5}$
3. $3$
4. $\dfrac{\sqrt{6}}{3}$
5. $\dfrac{\sqrt{10}}{5}$
6. $\dfrac{3\sqrt{2}}{2}$
7. $\dfrac{6\sqrt{5}}{5}$
8. $ab\sqrt{b}$
2. $3\sqrt{5}$
3. $3$
4. $\dfrac{\sqrt{6}}{3}$
5. $\dfrac{\sqrt{10}}{5}$
6. $\dfrac{3\sqrt{2}}{2}$
7. $\dfrac{6\sqrt{5}}{5}$
8. $ab\sqrt{b}$
二、把下列各式化成最简二次根式
9. $\sqrt{\dfrac{3}{400}}$
10. $\sqrt{27^{-1}}$
11. $\dfrac{1}{2}\sqrt{32}$
12. $\sqrt{0.25×0.16}$
13. $-\dfrac{1}{2}\sqrt{1024×5}$
14. $\dfrac{1}{3}\sqrt{6^2 +9^2}$
15. $\sqrt{\dfrac{4x^3}{3}}\ (x≥0)$
16. $2\sqrt{4a^3b^2c}\ (a≥0,b≥0,c≥0)$
9. $\sqrt{\dfrac{3}{400}}$
10. $\sqrt{27^{-1}}$
11. $\dfrac{1}{2}\sqrt{32}$
12. $\sqrt{0.25×0.16}$
13. $-\dfrac{1}{2}\sqrt{1024×5}$
14. $\dfrac{1}{3}\sqrt{6^2 +9^2}$
15. $\sqrt{\dfrac{4x^3}{3}}\ (x≥0)$
16. $2\sqrt{4a^3b^2c}\ (a≥0,b≥0,c≥0)$
答案
9. $\dfrac{\sqrt{3}}{20}$
10. $\dfrac{\sqrt{3}}{9}$
11. $2\sqrt{2}$
12. $0.2$
13. $-16\sqrt{5}$
14. $\sqrt{13}$
15. $\dfrac{2x\sqrt{3x}}{3}$
16. $4ab\sqrt{ac}$
10. $\dfrac{\sqrt{3}}{9}$
11. $2\sqrt{2}$
12. $0.2$
13. $-16\sqrt{5}$
14. $\sqrt{13}$
15. $\dfrac{2x\sqrt{3x}}{3}$
16. $4ab\sqrt{ac}$
