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Simplifying Radicals with Multiplication and Division

Total questions: 60

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Simplify: 600\sqrt[]{600}

2.

Simplify: 243\sqrt[]{243}

3.

Simplify: 54\sqrt[]{54}

4.

Simplify: 12\sqrt[]{12}

5.

Simplify: 20\sqrt[]{20}

6.

Simplify: 75\sqrt[]{75}

7.

Simplify: 98\sqrt[]{98}

8.

Simplify: 27\sqrt[]{27}

9.

Simplify: 51\sqrt[]{51}

10.

Simplify: 121\sqrt[]{121}

11.

Simplify: 3 7\sqrt[]{3}\ \cdot\sqrt[]{7}

12.

Simplify: 4 3 34\ \sqrt[]{3}\ \cdot\sqrt[]{3}

13.

Simplify: 8  5 8\sqrt[]{8}\ \cdot\ 5\ \sqrt[]{8}

14.

Simplify: 2 3  32\ \sqrt[]{3}\ \cdot\ 3

15.

Simplify: 16  25\sqrt[]{16}\ \cdot\ \sqrt[]{25}

16.

Simplify: 9  4\sqrt[]{9}\ \cdot\ \sqrt[]{4}

17.

Simplify: 5  12\sqrt[]{5}\ \cdot\ \sqrt[]{12}

18.

Simplify: 3  12\sqrt[]{3}\ \cdot\ \sqrt[]{12}

19.

Simplify: 8 2  38\ \sqrt[]{2}\ \cdot\ \sqrt[]{3}

20.

Simplify: 3  9\sqrt[]{3}\ \cdot\ 9

21.

Simplify: 3 3  2 43\ \sqrt[]{3}\ \cdot\ 2\ \sqrt[]{4}

22.

Simplify: 5 3  2 25\ \sqrt[]{3}\ \cdot\ 2\ \sqrt[]{2}

23.

Simplify: (65 )2\left(\sqrt[]{\frac{6}{5}}\ \right)^2

24.

Simplify: (64 )2\left(\sqrt[]{\frac{6}{4}}\ \right)^2

25.

Simplify: (100 )2\left(\sqrt[]{100}\ \right)^2

26.

Simplify: (11 )2\left(\sqrt[]{11}\ \right)^2

27.

Simplify: (2 3 )2\left(2\ \sqrt[]{3}\ \right)^2

28.

Simplify: (9 2 )2\left(9\ \sqrt[]{2}\ \right)^2

29.

Simplify: (3 11 )2\left(3\ \sqrt[]{11}\ \right)^2

30.

Simplify: 11( 2 )211\left(\ \sqrt[]{2}\ \right)^2

31.

Simplify: 19 \sqrt[]{\frac{1}{9}}\

32.

Simplify: 16 \sqrt[]{\frac{1}{6}}\

33.

Simplify: 82\frac{8}{\sqrt[]{2}}

34.

Simplify: 122\frac{12}{\sqrt[]{2}}

35.

Simplify: 12 22\frac{12\ \sqrt[]{2}}{\sqrt[]{2}}

36.

Simplify: 122\frac{\sqrt[]{12}}{\sqrt[]{2}}

37.

Simplify: 2002\frac{\sqrt[]{200}}{\sqrt[]{2}}

38.

Simplify: 93\frac{\sqrt[]{9}}{\sqrt[]{3}}

39.

Simplify: 513\frac{\sqrt[]{51}}{\sqrt[]{3}}

40.

Simplify: 2255\frac{\sqrt[]{225}}{\sqrt[]{5}}

41.

Simplify: 22\frac{2}{\sqrt[]{2}}

42.

Simplify: 5 62\frac{5\ \sqrt[]{6}}{\sqrt[]{2}}

43.

Simplify: 62\frac{6}{\sqrt[]{2}}

44.

Simplify: 30 63\frac{30\ \sqrt[]{6}}{\sqrt[]{3}}

45.

Simplify: 8 42\frac{8\ \sqrt[]{4}}{\sqrt[]{2}}

46.

Simplify: 213\frac{21}{\sqrt[]{3}}

47.

Simplify: 6 23\frac{6\ \sqrt[]{2}}{\sqrt[]{3}}

48.

Simplify: 42\frac{\sqrt[]{4}}{\sqrt[]{2}}

49.

Simplify: 102\frac{\sqrt[]{10}}{\sqrt[]{2}}

50.

Simplify: 4816\frac{\sqrt[]{48}}{\sqrt[]{16}}

51.

Simplify: 19649\frac{\sqrt[]{196}}{\sqrt[]{49}}

52.

Simplify: 242\frac{\sqrt[]{24}}{\sqrt[]{2}}

53.

Simplify: 3 155\frac{3\ \sqrt[]{15}}{\sqrt[]{5}}

54.

Simplify: 10 23\frac{10\ \sqrt[]{2}}{\sqrt[]{3}}

55.

Simplify: 10 32\frac{10\ \sqrt[]{3}}{\sqrt[]{2}}

56.

Simplify: 5424\frac{\sqrt[]{54}}{\sqrt[]{24}}

57.

Simplify: 45108\frac{\sqrt[]{45}}{\sqrt[]{108}}

58.

Simplify: 8 246\frac{8\ \sqrt[]{24}}{\sqrt[]{6}}

59.

Simplify: 11 753\frac{11\ \sqrt[]{75}}{\sqrt[]{3}}

60.

Simplify: 6 123\frac{6\ \sqrt[]{12}}{\sqrt[]{3}}