Free Printable Review Radicals

1.

(2∛4)+(7∛4)

a)

9∛8

b)

52

c)

9∛16

d)

9∛4

2.

(3√8)+(2√2)

a)

(3√8)+(2√2)

b)

5√2

c)

5√8

d)

8√2

3.

(6√2)-(4√18)

a)

(6√2)-(4√18)

b)

1-6√18

c)

2√2

d)

-6√2

4.

Simplify
3√2 - 3√18

a)

-4√8

b)

4√9-6√3

c)

5√12

d)

-6√2

5.

√5 + √20

a)

5

b)

25

c)

3√5

d)

2√3

6.

a)

5∛27

b)

7∛3

c)

15

d)

8∛3

7.

√300 + √75

a)

15√3

b)

√375

c)

20√5

d)

16√5

8.

Simplify:
√12 + √192

a)

8√3

b)

2√3

c)

10√3

d)

Cannot be added

9.

a)

∛-234

b)

-3∛2

c)

7∛2

d)

3∛2

10.

Simplify
-2√2 - 3√8 - √5

a)

-8√2-√5

b)

-8√2-√9

c)

-14√3-√7

d)

-2√4-√3

11.

$5\sqrt{2}+4\sqrt{2}$

a)

$9\sqrt{4}$

b)

$9\sqrt{2}$

c)

$20\sqrt{2}$

12.

$3\sqrt{20}+4\sqrt{5}$

a)

$10\sqrt{5}$

b)

$16\sqrt{5}$

c)

$7\sqrt{25}$

13.

$2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$

a)

$24\sqrt{3}$

b)

$24\sqrt{3}+5\sqrt{8}$

c)

$14\sqrt{3}+10\sqrt{2}$

14.

$10\sqrt{45}-\sqrt{20}$

a)

$32\sqrt{5}$

b)

$88\sqrt{5}$

c)

$28\sqrt{5}$

15.

$-3\sqrt{6}+5\sqrt{24}$

a)

$17\sqrt{6}$

b)

$17\sqrt{6}$

c)

$7\sqrt{6}$

16.

$\sqrt{12}+5\sqrt{18}+2\sqrt{27}$

a)

$8\sqrt{3}+15\sqrt{2}$

b)

$8\sqrt{2}+15\sqrt{3}$

c)

$25\sqrt{2}$

17.

$3\sqrt{50}-5\sqrt{32}$

a)

$3\sqrt{2}$

b)

$-5\sqrt{2}$

c)

$35\sqrt{2}$

18.

$5\sqrt{200}-5\sqrt{8}$

a)

$60\sqrt{2}$

b)

$\sqrt{8}$

c)

$40\sqrt{2}$

19.

$2\sqrt{150}+3\sqrt{175}+4\sqrt{24}$

a)

$2\sqrt{6}+15\sqrt{7}$

b)

$18\sqrt{6}+15\sqrt{7}$

c)

$17\sqrt{13}$

20.

$-5\sqrt{2}+10\sqrt{8}+3\sqrt{18}$

a)

$24\sqrt{2}$

b)

$44\sqrt{2}$

c)

$62\sqrt{2}$

21.

Multiply and simplify: $\sqrt{3}\cdot\sqrt{15}$

a)

$\sqrt{45}$

b)

$3\sqrt{5}$

c)

$5\sqrt{3}$

d)

$15\sqrt{3}$

22.

Multiply and simplify: $2\sqrt{12}\cdot\sqrt{5}$

a)

$2\sqrt{60}$

b)

$2\sqrt{15}$

c)

$4\sqrt{15}$

d)

$15\sqrt{4}$

23.

Multiply and simplify: $\sqrt{8}\cdot3\sqrt{5}$

a)

$6\sqrt{10}$

b)

$3\sqrt{40}$

c)

$3\sqrt{10}$

d)

$12\sqrt{10}$

24.

Multiply and simplify: $-2\sqrt{3}\cdot4\sqrt{18}$

a)

$24\sqrt{6}$

b)

$-24\sqrt{6}$

c)

$24\sqrt{3}$

d)

$-24\sqrt{3}$

25.

Multiply and simplify: $\sqrt{6}\cdot\sqrt{18}$

a)

$2\sqrt{6}$

b)

$6\sqrt{2}$

c)

$3\sqrt{6}$

d)

$6\sqrt{3}$

26.

Multiply and simplify: $4\sqrt{3}\cdot5\sqrt{3}$

a)

$60$

b)

$60\sqrt{3}$

c)

$3\sqrt{60}$

d)

$180$

27.

Multiply and simplify: $3\sqrt{7}\cdot\sqrt{14}$

a)

$3\sqrt{98}$

b)

$10\sqrt{2}$

c)

$21\sqrt{2}$

d)

$2\sqrt{21}$

28.

Multiply and simplify: $5\sqrt{15}\cdot2\sqrt{6}$

a)

$30\sqrt{6}$

b)

$30\sqrt{10}$

c)

$10\sqrt{30}$

d)

$6\sqrt{30}$

29.

Multiply and simplify: $5\sqrt{10}\cdot\sqrt{5}$

a)

$10\sqrt{2}$

b)

$5\sqrt{50}$

c)

$25\sqrt{2}$

d)

$10$

30.

Multiply and simplify: $-6\sqrt{2}\cdot-2\sqrt{3}$

a)

$12\sqrt{5}$

b)

$-12\sqrt{5}$

c)

$12\sqrt{6}$

d)

$-12\sqrt{6}$

31.

Multiply and simplify: $-2\sqrt{11}\cdot\sqrt{22}$

a)

$-22\sqrt{2}$

b)

$22\sqrt{2}$

c)

$2\sqrt{22}$

d)

$-2\sqrt{22}$

32.

Multiply and simplify: $\sqrt{8}\cdot\sqrt{5}$

a)

$\sqrt{40}$

b)

$2\sqrt{10}$

c)

$4\sqrt{10}$

d)

$10\sqrt{4}$

33.

Multiply and simplify: $5\sqrt{6}\cdot3\sqrt{12}$

a)

$15\sqrt{72}$

b)

$2\sqrt{90}$

c)

$90\sqrt{2}$

d)

$15\sqrt{2}$

34.

Multiply and simplify: $\sqrt{6}\cdot\sqrt{20}$

a)

$2\sqrt{30}$

b)

$30\sqrt{2}$

c)

$\sqrt{120}$

d)

$4\sqrt{30}$

35.

Multiply and simplify: $\sqrt{13}\cdot2\sqrt{39}$

a)

$13\sqrt{3}$

b)

$26\sqrt{3}$

c)

$3\sqrt{13}$

d)

$3\sqrt{26}$

36.

Multiply and simplify: $-3\sqrt{50}\cdot2\sqrt{6}$

a)

$-60\sqrt{3}$

b)

$60\sqrt{3}$

c)

$-30\sqrt{2}$

d)

$30\sqrt{2}$

37.

Express the following in simplest radical form:

$\sqrt{52}$

a)

$2\sqrt{13}$

b)

$4\sqrt{13}$

c)

$\sqrt{4}\sqrt{13}$

d)

$\sqrt{52}$

38.

Express the following in simplest radical form:

$\sqrt{80}$

a)

$4\sqrt{5}$

b)

$16\sqrt{5}$

c)

$2\sqrt{20}$

d)

$4\sqrt{20}$

39.

Express the following in simplest radical form:

$\sqrt{200}$

a)

$10\sqrt{2}$

b)

$100\sqrt{2}$

c)

$2\sqrt{50}$

d)

$10\sqrt{20}$

40.

Express the following in simplest radical form:

$\sqrt{72}$

a)

$6\sqrt{2}$

b)

$36\sqrt{2}$

c)

$3\sqrt{8}$

d)

$9\sqrt{8}$

41.

Express the following in simplest radical form:

$\sqrt{162}$

a)

$9\sqrt{2}$

b)

$81\sqrt{2}$

c)

$9\sqrt{6}$

d)

$18\sqrt{2}$

42.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

43.

√96

a)

4√6

b)

3√6

c)

6√5

d)

6√8

44.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

45.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

46.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

47.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

48.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

49.

Simplify the following radical: √275

a)

5√5

b)

5√11

c)

11√5

d)

5√55

50.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

51.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

52.

True or False: The following list contains only perfect squares.
1, 4, 9, 27, 81, 100

a)

True

b)

False

53.

Simplify:
√100

a)

1

b)

10

c)

10²

d)

Already simplified

54.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

55.

√16

a)

4

b)

8

c)

16

d)

64

56.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

57.

Simplify √60

a)

2√15

b)

12

c)

4√15

d)

3√5

58.

$\sqrt{300}=$

a)

$3\sqrt{10}$

b)

$2\sqrt{150}$

c)

$100\sqrt{3}$

d)

$10\sqrt{3}$

59.

$\sqrt{256}=$

a)

$12\sqrt{2}$

b)

$9\sqrt{14}$

c)

$16$

d)

$18\sqrt{6}$

60.

$\sqrt{45}=$

a)

$3\sqrt{5}$

b)

$5\sqrt{3}$

c)

$9\sqrt{5}$

d)

$5\sqrt{9}$

61.

a)

³√54

b)

9 ³√2

c)

3³√2

d)

3³√3

62.

a)

2 ³√12

b)

2 ³√4

c)

³√96

d)

4 ³√6

63.

a)

3 ³√25

b)

³√375

c)

3 ³√125

d)

5 ³√3

64.

Simplify 9∛32

a)

9∛4

b)

2∛4

c)

18∛4

d)

9∛2

65.

Which is the equivalent to: 17 ∛2

a)

∛19,652

b)

∛136

c)

∛578

d)

∛9826

66.

Simplify the cube root: ∛540

a)

3 ∛20

b)

6 ∛15

c)

3 ∛15

d)

20 ∛3

67.

Simplify the cube root: ∛2058

a)

49 ∛3

b)

49 ∛2

c)

7 ∛3

d)

7 ∛6

68.

Simplify completely:

a)

b)

c)

d)

69.

Simplify completely using factor trees

a)

No Real Answer

b)

c)

d)

$\sqrt{144}$

70.

∛81

a)

Simplified

b)

3∛3

c)

9

d)

27∛3

71.

a)

a

b)

b

c)

c

d)

d

72.

∛8 =

a)

4

b)

3

c)

2

d)

512

73.

Which is equivalent to ∛54 in simplest form?

a)

3∛6

b)

9∛2

c)

3∛2

d)

3∛3

74.

Which is equivalent to ∛375 in simplest form?

a)

3∛5

b)

5∛25

c)

3∛125

d)

5∛3

75.

a)

A

b)

B

c)

C

d)

D

Review Radicals

Total questions: 75

Worksheet time: 6hrs 19mins

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