Free Printable Radical Expressions 2025

1.

Simplify: $\left(2\sqrt{3}\right)\left(5\sqrt{5}\right)$

a)

$\left(2\sqrt{3}\right)\left(5\sqrt{5}\right)$

b)

$7\sqrt{8}$

c)

$10\sqrt{8}$

d)

$10\sqrt{15}$

2.

Simplify: $11\sqrt{3}-8\sqrt{3}$

a)

$3\sqrt{3}$

b)

$-88\sqrt{3}$

c)

$3$

d)

$3\sqrt{0}$

3.

Simplify: $\left(2\sqrt{12}\right)\left(4\sqrt{3}\right)$

a)

$8\sqrt{15}$

b)

$48$

c)

$6\sqrt{15}$

d)

$8\sqrt{6}$

4.

Simplify: $\sqrt{2}\cdot\sqrt{10}$

a)

$\sqrt{12}$

b)

$2\sqrt{10}$

c)

$2\sqrt{5}$

d)

$5\sqrt{4}$

5.

Simplify: $\left(3\sqrt{2}\right)\left(4\sqrt{8}\right)$

a)

$\left(3\sqrt{2}\right)\left(4\sqrt{8}\right)$

b)

$12\sqrt{10}$

c)

$7\sqrt{16}$

d)

$48$

6.

Simplify: $\sqrt{2}\cdot\sqrt{3}\cdot\sqrt{5}$

a)

$\sqrt{11}$

b)

$\sqrt{30}$

c)

$\sqrt{17}$

d)

$\sqrt{10}$

7.

Simplify:

3\sqrt{3}\cdot\ 2\sqrt{12}

a)

$6\sqrt{15}$

b)

$3\sqrt{3}\cdot\ 2\sqrt{12}$

c)

$5\sqrt{15}$

d)

$36$

8.

Simplify:

2\sqrt{10}\cdot\ 3\sqrt{10}

a)

$5\sqrt{10}$

b)

$6\sqrt{10}$

c)

$60$

d)

$50$

9.

Simplify:

12\sqrt{5}-\ 8\sqrt{5}

a)

$4\sqrt{5}$

b)

$4\sqrt{10}$

c)

$-96\sqrt{5}$

d)

$12\sqrt{5}-8\sqrt{5}$

10.

Match the following

a)

1.

$3\sqrt[]{3}$

b)

2.

$2\sqrt[]{3}$

c)

3.

$2$

d)

4.

$2\sqrt[]{2}$

e)

5.

$4$

11.

Match the following

a)

1.

$3\sqrt[]{2}$

b)

2.

$2\sqrt[]{5}$

c)

3.

$2\sqrt[]{6}$

d)

4.

$5$

e)

5.

$2\sqrt[]{7}$

12.

Match the following

a)

1.

$\sqrt[]{2}+\sqrt[]{2}$

b)

2.

$\sqrt[]{3}+\sqrt[]{3}$

c)

3.

$2\sqrt[]{2}+\sqrt[]{2}$

d)

4.

$7\sqrt[]{3}-4\sqrt[]{3}$

e)

5.

$\sqrt[]{32}$

13.

Simplify $\sqrt[]{3}\times\sqrt[]{3}$

a)

2

b)

4

c)

3

d)

1

14.

Simplify $\sqrt[]{5}\times\sqrt[]{5}$

a)

10

b)

5

c)

0

d)

1

15.

Simplify $\sqrt[]{7}\times\sqrt[]{7}$

a)

14

b)

7

c)

$\sqrt[]{7}$

d)

49

16.

Simplify $\sqrt[]{8}\times\sqrt[]{8}$

a)

16

b)

8

c)

$\sqrt[]{8}$

d)

64

17.

Simplify $\sqrt[]{9}\times\sqrt[]{9}$

a)

18

b)

9

c)

$\sqrt[]{9}$

d)

81

18.

Match the following

a)

$2\sqrt[]{2}$

1.

$\sqrt[]{8}$

b)

$3\sqrt[]{2}$

2.

$\sqrt[]{18}$

c)

$4\sqrt[]{2}$

3.

$\sqrt[]{32}$

d)

$5\sqrt[]{2}$

4.

$\sqrt[]{50}$

e)

$6\sqrt[]{2}$

5.

$\sqrt[]{72}$

19.

Match the following

a)

$2\sqrt[]{3}$

1.

$\sqrt[]{12}$

b)

$3\sqrt[]{3}$

2.

$\sqrt[]{27}$

c)

$4\sqrt[]{3}$

3.

$\sqrt[]{48}$

d)

$5\sqrt[]{3}$

4.

$\sqrt[]{75}$

e)

$6\sqrt[]{3}$

5.

$\sqrt[]{108}$

20.

Match the following

a)

$\sqrt[]{20}$

1.

$2\sqrt[]{5}$

b)

$\sqrt[]{50}$

2.

$5\sqrt[]{2}$

c)

$\sqrt[]{28}$

3.

$2\sqrt[]{7}$

d)

$\sqrt[]{98}$

4.

$7\sqrt[]{2}$

e)

$\sqrt[]{175}$

5.

$5\sqrt[]{7}$

21.

Match the following

a)

$\sqrt[]{90}$

1.

$3\sqrt[]{10}$

b)

$\sqrt[]{300}$

2.

$10\sqrt[]{3}$

c)

$\sqrt[]{200}$

3.

$10\sqrt[]{2}$

d)

$\sqrt[]{40}$

4.

$2\sqrt[]{10}$

e)

$\sqrt[]{12}$

5.

$2\sqrt[]{3}$

22.

Organize these options into the right categories

Categorize the following

$\sqrt[]{25}$

$\sqrt[]{9}$

$\sqrt[]{100}$

$\sqrt[]{49}$

$\sqrt[]{144}$

$\sqrt[]{5}$

$\sqrt[]{12}$

$\sqrt[]{17}$

$\sqrt[]{40}$

$\sqrt[]{11}$

Villa

Chateau

Monribeau

Pierre Grise

Graveline

German Shepherd

Chihuahua

Siberian Husky

Dachshund

Affenpinscher

Whole Number

Irrational Number

Buildings at BM

Breeds of dog

23.

Organise these options into the right categories

Categorize the following

Ms Kennedy

Godzilla

Vampire

Werewolf

Zombie

4

9

16

25

Carrot

Broccoli

Spinach

Potato

Tomato

Dr Walker

Ms Robbins

Ms Nicky

Tim

Ms McFall

Teachers at BM

Monsters

Square Numbers

Vegetables

24.

Match the following

a)

1.

1

b)

2.

4

c)

3.

9

d)

4.

16

e)

5.

25

25.

Match the following

a)

1.

36

b)

2.

64

c)

3.

196

d)

4.

361

e)

5.

9

26.

Match the following

a)

1.

49

b)

2.

81

c)

3.

144

d)

4.

289

e)

5.

169

27.

Match the following

a)

1.

121

b)

2.

11

c)

3.

400

d)

4.

14

e)

5.

16

28.

Match the following

a)

1.

81

b)

2.

225

c)

3.

324

d)

4.

25

e)

5.

4

29.

Reorder the following

a)

b)

c)

d)

e)

1)

2)

3)

4)

5)

30.

Organise these options into the right categories

Categorize the following

16

25

36

49

64

81

33

88

132

99

165

Zurich

Geneva

Basel

Lausanne

Bern

Lucerne

100

Square Numbers

Multiples of 11

Cities in Switzerland

31.

Simplify $\sqrt[]{2}\times\sqrt[]{2}$

a)

$\sqrt[]{2}$

b)

2

c)

$2\sqrt[]{2}$

d)

4

32.

Simplify $\sqrt[]{3}\times\sqrt[]{3}$

a)

$\sqrt[]{3}$

b)

3

c)

$3\sqrt[]{3}$

d)

9

33.

Simplify $\sqrt[]{4}\times\sqrt[]{4}$

a)

$\sqrt[]{4}$

b)

4

c)

$\sqrt[]{44}$

d)

16

34.

Simplify $\sqrt[]{5}\times\sqrt[]{5}$

a)

$\sqrt[]{5}$

b)

5

c)

$\sqrt[5]{5}$

d)

25

35.

Simplify $\sqrt[]{6}\times\sqrt[]{6}$

a)

$\sqrt[]{6}$

b)

6

c)

$\sqrt[6]{6}$

d)

66

36.

Simplify $\sqrt[]{7}\times\sqrt[]{7}$

a)

$\sqrt[]{7}$

b)

7

c)

$7^7$

d)

49

37.

Simplify $\sqrt[]{8}\times\sqrt[]{8}$

a)

$\sqrt[]{8}$

b)

8

c)

$8\pi$

d)

64

38.

Simplify $\sqrt[]{64}\times\sqrt[]{64}$

a)

$8$

b)

64

c)

$\sqrt[]{8}$

d)

256

39.

a)

$\sqrt[]{4}$

b)

4

c)

$\sqrt[]{2}$

d)

2

40.

Simplify:
√5 x √6

a)

2√15

b)

√11

c)

√30

d)

3√10

41.

Simplify completely.

a)

2√3

b)

-8√3

c)

2√6

d)

-8√6

42.

Match the following

a)

$\sqrt[]{2}\times\sqrt[]{3}$

1.

$\sqrt[]{6}$

b)

$\sqrt[]{3}\times\sqrt[]{3}$

2.

3

c)

$\sqrt[]{3}\times\sqrt[]{4}$

3.

$2\sqrt[]{3}$

d)

$\sqrt[]{3}\times\sqrt[]{27}$

4.

9

e)

$\sqrt[]{3}\times\sqrt[]{9}$

5.

$3\sqrt[]{3}$

43.

Match the following

a)

$\sqrt[]{5}\times\sqrt[]{7}$

1.

$\sqrt[]{35}$

b)

$\sqrt[]{5}\times\sqrt[]{5}$

2.

5

c)

$\sqrt[]{7}\times\sqrt[]{7}$

3.

7

d)

$\sqrt[]{4}\times\sqrt[]{100}$

4.

20

e)

$\sqrt[]{10}\times\sqrt[]{90}$

5.

30

44.

Match the following

a)

$\sqrt[]{8}\times\sqrt[]{11}$

1.

$2\sqrt[]{22}$

b)

$\sqrt[]{8}\times\sqrt[]{8}$

2.

8

c)

$\sqrt[]{11}\times\sqrt[]{11}$

3.

11

d)

$\sqrt[]{11}\times\sqrt[]{2}$

4.

$\sqrt[]{22}$

e)

$\sqrt[]{2}\times\sqrt[]{8}$

5.

4

45.

Match the following

a)

1.

Banana Man

b)

2.

Mr Toth

c)

3.

Dr Walker

d)

4.

Ms Tonge

e)

5.

Mrs Robbins

46.

Match it up

a)

1.

Ms McFall

b)

2.

Mr McClean

c)

3.

Ms Harold

d)

4.

Olivier

e)

5.

Banana Man

Radical Expressions 2025

Total questions: 46

Worksheet time: 3hrs 11mins

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