Free Printable A2-CHAPTER 5 TEST 2023-2024

1.

Find the indicated real n^th root(s) of a.

n = 6, a = −729

a)

3

b)

-3

c)

±3

d)

no real roots

2.

Find the indicated real n^th root(s) of a.

n = 5 , a = -243

a)

3

b)

-3

c)

±3

d)

no real roots

3.

Find the indicated real n^th root(s) of a.

n = 4, a = 256

a)

-4

b)

4

c)

±4

d)

no real roots

4.

Find the indicated real n^th root(s) of a.

n = 3, a = 8

a)

±2

b)

2

c)

-2

d)

no real roots

5.

Find the indicated nth root(s) of a.

n =3, a = -125

a)

5

b)

-5

c)

41.6666

d)

$\pm5$

6.

n = 2, a = 400

a)

20

b)

-20

c)

$\pm20$

d)

200

7.

n = 6, a = 64

a)

2

b)

-2

c)

10

d)

$\pm2$

8.

Find the indicated nth root(s) of a

n=3, a=8

(a)

9.

Find the indicated nth root(s) of a

n=5, a=-32

(a)

10.

Find the nth roots of a:
n=4; a=256

a)

8

b)

±8

c)

4

d)

±4

11.

Simplify

^3\sqrt{125}

a)

5

b)

15

c)

25

d)

41.7

12.

Simplify

^5\sqrt{-32}

a)

2

b)

-2

c)

6.4

d)

-6.4

13.

Fill in the blank: Every positive real number has ___ real nth roots when n is odd.

a)

2

b)

1

c)

0

d)

$\infty$

14.

Fill in the blank: Every negative real number has ___ real nth roots when n is even.

a)

2

b)

1

c)

0

d)

$\infty$

15.

Fill in the blank: Every negative real number has ___ real nth roots when n is odd.

a)

2

b)

1

c)

0

d)

$\infty$

16.

Find the cube root(s): ∛1

a)

1

b)

-1

c)

±1

d)

none

17.

$^3\sqrt{-64}=$

a)

-8

b)

8

c)

-4

d)

4

18.

a)

11

b)

576

c)

-12

d)

-13

19.

√-169

a)

-13

b)

13

c)

14

d)

-14

e)

Does not exist

20.

What is the root index for the square root of 9?

a)

1

b)

2

c)

3

d)

4

21.

Simplify the following

a)

4

b)

9

c)

2

d)

3

22.

Find the indicated nth root.

a)

-7

b)

7

c)

No Real Solutions

d)

5

23.

Find the indicated nth root.

a)

6

b)

-6

c)

No Real Solutions

d)

Infinite Solutions

24.

Find the indicated nth root.

a)

No Real Solutions

b)

-2

c)

2

d)

Infinite Solutions

25.

The number 1,000 is a...

a)

perfect square

b)

perfect cube

26.

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

a)

radical sign

b)

radicand

c)

factor

d)

exponent

27.

Find the cube root.

SIMPLIEST FORM

a)

9/12

b)

3/4

c)

4/8

d)

5/4

e)

2/6

28.

$\sqrt{\frac{81}{225}}$ Find the square root

a)

3/5

b)

5/3

c)

3/4

d)

4/3

29.

CHO0SE BEST ANSWER

a)

3/2

b)

2/3

c)

4/9

d)

-4/9

30.

Evaluate.

a)

7/5

b)

±7/5

c)

5/7

d)

±5/7

31.

CHOOSE BEST ANSWER

a)

27/8

b)

-27/8

c)

3/2

d)

2/3

32.

CHOOSE BEST ANSWER

a)

1

b)

2

c)

0

33.

a)

0

b)

1

c)

2

34.

a)

0

b)

1

c)

2

35.

CHOOSE BEST ANSWER

a)

3/10,-3/10

b)

-3/10,-3/10

c)

3/10

d)

-3/10

36.

CHOOSE BEST ANSWER

a)

3/4,-3,4

b)

-3/4,-3/4

c)

-3/4

d)

3/4

37.

Simplify the radical...
√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

38.

Simplify
√98b

a)

√98

b)

9√9b

c)

7√2b

d)

7√8b

39.

Simplify

√45n³

a)

3n√5n

b)

4n√8

c)

4n√-8

d)

10√n

40.

a)

A

b)

B

c)

C

d)

D

41.

a)

A

b)

B

c)

C

d)

D

42.

a)

A

b)

B

c)

C

d)

D

43.

√343k⁴

a)

7k²√7

b)

49k²√7

c)

6k²√7

d)

k²√7

44.

5√48x²

a)

10x√3

b)

15x√3

c)

20x√3

d)

25x√3

45.

√36x³y⁴

a)

6y²x√x

b)

3y²√2x

c)

3y√x

d)

6x√3y

46.

√28m⁴n³

a)

m²n√7n

b)

7m²n√n

c)

2m²n√7n

d)

7m²n²√n

47.

-3√20x⁴y²

a)

-6x²y√5

b)

6xy√5

c)

-3xy√2

d)

3x²y√5

48.

√96p⁹

a)

4p³

b)

4p⁴√p

c)

4p⁴√6p

d)

4p⁴√2p

49.

5√48x²

a)

10x√3

b)

15x√3

c)

20x√3

d)

25x√3

50.

Simplify the expression

a)

6a⁵b³√6b

b)

2a⁵b³√54b

c)

3a⁵b³

d)

6√2a¹⁰b⁷

51.

The expression $\sqrt{x^{33}}$ is equivalent to

a)

$x^{16}\sqrt{x}$

b)

$x^4\sqrt{x}$

c)

$x^8\sqrt{x}$

d)

$x^2\sqrt{x}$

52.

Simplify

a)

x²y√xy

b)

xy

c)

x²y²

d)

Can't Simplify

53.

Simplify the radical...
√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

54.

√36x³y⁴

a)

6y²x√x

b)

3y²√2x

c)

3y√x

d)

6x√3y

55.

√28m⁴n³

a)

m²n√7n

b)

7m²n√n

c)

2m²n√7n

d)

7m²n²√n

56.

√75x²

a)

5x²√3

b)

5x

c)

5x√3x

d)

5x√3

57.

$12\sqrt{48x^5y^7z}$

a)

$48x^2y^3\sqrt{3xz}$

b)

$16x^2y^3\sqrt{3xz}$

c)

$72x^2y^2\sqrt{8x^2y^4z}$

d)

None of the above

58.

$\sqrt{192k^7q^8}$

a)

$8q^4\sqrt{3k^7}$

b)

$8k^3q^4\sqrt{3}$

c)

$8k^3q^4\sqrt{3k}$

d)

$8k^7q^8\sqrt{3k}$

59.

Simplify the expression

a)

6a⁵b³√6b

b)

2a⁵b³√54b

c)

3a⁵b³

d)

6√2a¹⁰b⁷

60.

$Simplify.$

a)

b)

c)

d)

61.

$Simplify.$

a)

b)

c)

d)

62.

$Simplify.$

a)

b)

c)

d)

63.

$Simplify.$

a)

b)

c)

d)

64.

$Simplify.$

a)

b)

c)

d)

65.

$Simplify.$

a)

b)

c)

d)

66.

$Simplify.$

a)

b)

c)

d)

67.

$Simplify>$

a)

b)

c)

d)

68.

$Simplify.$

a)

b)

c)

d)

69.

$Simplify.$

a)

b)

c)

d)

70.

Simplify

√45n³

a)

3n√5n

b)

4n√8

c)

4n√-8

d)

10√n

71.

a)

x⁴y⁴√y

b)

72xy

c)

xy√y

d)

x²y³√x²

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

a)

A

b)

B

c)

C

d)

D

75.

Simplify

a)

√5

b)

-3√6

c)

√6

d)

6

76.

a)

6m²

b)

36

c)

6

d)

77.

a)

b)

c)

d)

78.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

79.

√3 × √15 =

a)

3√5

b)

5√3

c)

2√7

d)

√17

80.

Find the area of the rectangle shown.

a)

18√20

b)

12√10 + 6√2

c)

9√12

d)

36√5

81.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

82.

Simplify

a)

b)

c)

d)

e)

83.

Simplify

a)

40

b)

√14

c)

-10√10

d)

2√10

84.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

85.

Simplify

a)

b)

c)

d)

e)

86.

a)

A

b)

B

c)

C

d)

D

87.

$\sqrt{10x^2}\cdot\ \sqrt{10x}$

a)

$10x\sqrt{x}$

b)

$100\sqrt{x^3\ }$

c)

$10x^2\sqrt{x}$

d)

$x\sqrt{100x}$

88.

$-4\sqrt{15}\cdot2\sqrt{5}$

a)

$-8\sqrt{75}$

b)

$-30\sqrt{15}$

c)

$-40\sqrt{3}$

d)

$-600$

89.

Write your answer in simplest form

a)

A

b)

B

c)

C

d)

D

90.

Write your answer in simplest form

a)

A

b)

B

c)

C

d)

D

91.

Write your answer in simplest form

a)

A

b)

B

c)

C

d)

D

92.

Write your answer in simplest form

a)

A

b)

B

c)

C

d)

D

93.

Write your answer in simplest form

a)

A

b)

B

c)

C

d)

D

94.

Write your answer in simplest form

a)

A

b)

B

c)

C

d)

D

95.

Write your answer in simplest form

a)

A

b)

B

c)

C

d)

D

96.

Write your answer in simplest form

a)

A

b)

B

c)

C

d)

D

97.

Write your answer in simplest form

a)

A

b)

B

c)

C

d)

D

98.

Write your answer in simplest form

a)

A

b)

B

c)

C

d)

D

99.

Multiply the radicals:

$\sqrt[]{3}\cdot\sqrt[]{12}$

a)

$\sqrt[]{3}$

b)

$6$

c)

$\sqrt[]{6}$

d)

$3$

100.

Multiply the radicals:

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

a)

$2\sqrt[]{4}$

b)

$2$

c)

$4\sqrt[]{2}$

d)

$4$

101.

Multiply the radicals:

$-4\sqrt[]{2}\cdot\sqrt[]{12}$

a)

$-8\sqrt[]{6}$

b)

$-6$

c)

$-8$

d)

$-6\sqrt[]{8}$

102.

Multiply the radicals:

$5\sqrt[]{15}\cdot5\sqrt[]{20}$

a)

$250$

b)

$250\sqrt[]{5}$

c)

$250\sqrt[]{3}$

d)

$25\sqrt[]{5}$

103.

Multiply the radicals:

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

a)

$12$

b)

$6\sqrt[]{2}$

c)

$6\sqrt[]{3}$

d)

$2\sqrt[]{24}$

104.

Multiply the radicals:

$-3\sqrt[]{15}\cdot-4\sqrt[]{6}$

a)

$10\sqrt[]{36}$

b)

$10$

c)

$36$

d)

$36\sqrt[]{10}$

105.

Multiply the radicals using the distributive property:

$\sqrt[]{6}\left(\sqrt[]{3}+\sqrt[]{10}\right)$

a)

$2\sqrt[]{3}+4\sqrt[]{15}$

b)

$3\sqrt[]{2}+2\sqrt[]{15}$

c)

$3\sqrt[]{15}+3\sqrt[]{2}$

d)

$18\sqrt[]{10}$

106.

Multiply the radicals using the distributive property:

$\sqrt[]{3}\left(\sqrt[]{3}+3\right)$

a)

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

b)

$3$

c)

$3\sqrt[]{3}$

d)

$9$

107.

Multiply the radicals using the distributive property:

$-5\sqrt[]{5}\left(5+\sqrt[]{3}\right)$

a)

$-25\sqrt[]{3}$

b)

$-5\sqrt[]{15}$

c)

$-25\sqrt[]{5}-5\sqrt[]{15}$

d)

$-25\sqrt[]{15}-5\sqrt[]{5}$

108.

Multiply the radicals using the distributive property:

$3\sqrt[]{3}\left(-4\sqrt[]{10}+5\sqrt[]{3}\right)$

a)

$-12\sqrt[]{30}+45$

b)

$-12\sqrt[]{3}+45$

c)

$-12\sqrt[]{3}+15$

d)

$-3\sqrt[]{15}+30$

109.

Multiply the radicals using the distributive property:

$\left(2\sqrt[]{3}-2\right)\left(\sqrt[]{3}-1\right)$

a)

$6-\sqrt[]{3}$

b)

$8-4\sqrt[]{3}$

c)

$3-\sqrt[]{6}$

d)

$8-4\sqrt[]{6}$

110.

Multiply the radicals using the distributive property:

$\left(\sqrt[]{3}+\sqrt[]{2}\right)\left(\sqrt[]{3}-\sqrt[]{2}\right)$

a)

$-3\sqrt[]{6}$

b)

$-2\sqrt[]{6}$

c)

$-6$

d)

$1$

111.

Multiply the radicals using the distributive property:

$\left(5\sqrt[]{5}+4\sqrt[]{2}\right)\left(-2\sqrt[]{5}+2\sqrt[]{2}\right)$

a)

$34+2\sqrt[]{10}$

b)

$-17+2\sqrt[]{10}$

c)

$-34+2\sqrt[]{10}$

d)

$17+2\sqrt[]{10}$

112.

Multiply the radicals using the distributive property:

$\left(4-3\sqrt[]{2}\right)\left(4+3\sqrt[]{2}\right)$

a)

$-2$

b)

$8$

c)

$-8$

d)

$16$

113.

Multiply the radicals using the distributive property:

$\left(1-4\sqrt[]{2}\right)\left(4+\sqrt[]{2}\right)$

a)

$-4+2\sqrt[]{8}$

b)

$-4-15\sqrt[]{2}$

c)

$4-2\sqrt[]{8}$

d)

$-4-2\sqrt[]{8}$

114.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

115.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

116.

Multiply the radicals:

$\sqrt[]{7}\cdot\sqrt[]{14}$

a)

$\sqrt[]{7}$

b)

$7$

c)

$\sqrt[]{14}$

d)

$14$

117.

Multiply the radicals using the distributive property:

$\left(\sqrt[]{5}+\sqrt[]{4}\right)\left(\sqrt[]{5}-\sqrt[]{4}\right)$

a)

$-5\sqrt[]{4}$

b)

$-4\sqrt[]{5}$

c)

$-5$

d)

$1$

118.

Multiply the radicals:

$3\sqrt[]{10}\cdot2\sqrt[]{5}$

a)

$30\sqrt[]{2}$

b)

$30$

c)

$60$

d)

$60\sqrt[]{2}$

119.

$\sqrt[]{2x^2y^3}$

a)

2y $\sqrt[]{xy}$

b)

y $\sqrt[]{2xy}$

c)

2x $\sqrt[]{y^2}$

d)

xy $\sqrt[]{2y}$

120.

Simplify. Use absolute value bars only if necessary.

a)

5|x³|

b)

125x³

c)

5x³

d)

25x³

121.

Simplify. Use absolute value bars if necessary

a)

2xy²

b)

2|x|y²

c)

4xy²

d)

2|xy|

122.

Simplify. Use absolute value symbols when necessary.

a)

9y²

b)

3y²

c)

3y³

d)

3y

123.

Simplify. Use absolute value bars where necessary.

a)

|x⁵|y⁷

b)

|x⁵y⁷|

c)

x⁵y⁷

d)

x⁵|y⁷|

124.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

125.

Simplify:

√90

a)

9√10

b)

3√10

c)

10√3

d)

10√9

126.

Simplify the above radical.

a)

b)

c)

d)

127.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

128.

√72

a)

7√9

b)

4√6

c)

6√2

d)

3√4

129.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

130.

The square root of 64x⁸y⁶is ?

a)

32x⁴y³

b)

8xy

c)

8x⁴y³

d)

16

131.

Simplify:

a)

8x⁹

b)

8x³

c)

8x⁴√x

d)

8x³√x

132.

Simplify the above radical.

a)

b)

c)

d)

133.

Simplify completely.

a)

8√3xy

b)

y√24xy

c)

8y√3xy

d)

8√24x

134.

Simplify. Use absolute value bars when necessary.

a)

11|y⁵|

b)

121|y⁵|

c)

11y⁵

d)

11y¹⁰

135.

Simplify. Use absolute value bars only if necessary.

a)

5|x³|

b)

125x³

c)

5x³

d)

25x³

136.

a)

4

b)

-4

c)

8

d)

no real cube root

137.

Find all real solutions.

a)

-9, 9

b)

3

c)

-3, 3

d)

-3

138.

Simplify. Use absolute value bars if necessary

a)

2xy²

b)

2|x|y²

c)

4xy²

d)

2|xy|

139.

Simplify. Use absolute value symbols when necessary.

a)

4x²

b)

4x

c)

2x

d)

4|x|

140.

Simplify. Use absolute value symbols when necessary.

a)

9y²

b)

3y²

c)

3y³

d)

3y

141.

Simplify. Use absolute value bars where necessary.

a)

|x⁵|y⁷

b)

|x⁵y⁷|

c)

x⁵y⁷

d)

x⁵|y⁷|

142.

a)

2xy²

b)

2|x|y²

c)

4xy²

d)

2|xy|

143.

Simplify the above radical.

a)

b)

c)

d)

144.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

145.

a)

2/3

b)

-2/3

c)

-4/9

d)

no real fourth root

146.

The integer located underneath the root symbol is.....?

a)

Index

b)

Radical

c)

Radicand

d)

Cube

147.

Determine the cube root of the following integer.

$\sqrt[3]{1331}$

a)

7

b)

9

c)

17

d)

11

148.

Determine the 5th root of the following integer.

$\sqrt[5]{7776}$

a)

6

b)

4

c)

8

d)

5

149.

Determine the square root of the following integer. Only use the principal root!

$\sqrt[]{324}$

a)

14

b)

-14

c)

16

d)

18

150.

Determine the principal root of the following 4th root.

$\sqrt[4]{20736}$

a)

14

b)

10

c)

22

d)

12

151.

Determine the cube root of the following integer.

$\sqrt[3]{-3375}$

a)

15

b)

-15, 15

c)

-15

d)

-25

152.

Determine the square root of the following integer.

$\sqrt[]{-100}$

a)

-10, 10

b)

-10

c)

10

d)

There are no real roots

153.

When solving an equation with an even index, there will be ___ solutions.

a)

1: Positive

b)

1: Negative

c)

2: Positive and Negative

154.

Solve the following radical equation.

$x^2=196$

a)

-14, 14

b)

-16, 16

c)

14

d)

-16

155.

Solve the following radical equation.

$x^7=-16384$

a)

-4

b)

4

c)

2

d)

-2

156.

Solve the following radical equation.

$x^4=81$

a)

-9, 9

b)

3

c)

-3, 3

d)

No Real Roots

157.

Solve the following radical equation.

$x^2=529$

a)

-13, 13

b)

-17, 17

c)

-23, 23

d)

No Real Roots

158.

Solve the following radical equation.

$x^5=\frac{32}{16807}$

a)

2/9

b)

2/7

c)

2/5

d)

No Real Roots

159.

Solve the following radical equation.

$x^3=\frac{64}{343}$

a)

4/7

b)

2/7

c)

4/9

d)

2/9

160.

When applying the properties of exponents on roots, you must take the ________ of numbers, and ________ exponents.

a)

Divide, Root

b)

Root, Divide

c)

Divide, Divide

d)

Root, Root

161.

Simplify the following radical expression.

$\sqrt[]{100x^{14}}$

a)

$100x^7$

b)

$10x^7$

c)

$10x^{12}$

d)

$100x^{12}$

162.

Simplify the following radical expression.

$\sqrt[]{81x^6y^{10}}$

a)

$40.5x^3y^5$

b)

$9x^3y^5$

c)

$7x^3y^5$

d)

$7x^2y^2$

163.

Simplify the following radical expression.

$\sqrt[3]{64x^{12}y^6}$

a)

$32x^6y^3$

b)

$4x^6y^3$

c)

$4x^4y^2$

d)

$2x^4y^3$

164.

Simplify the following radical expression.

$\sqrt[10]{1024x^{20}y^{80}}$

a)

$2x^{10}y^{70}$

b)

$4x^{10}y^{70}$

c)

$4x^2y^8$

d)

$2x^2y^8$

165.

Simplify the following radical expression.

$\sqrt[3]{\frac{27}{512}x^3y^{42}}$

a)

$\frac{3}{7}xy^{16}$

b)

$\frac{3}{8}xy^{14}$

c)

$\frac{3}{8}xy^{16}$

d)

$\frac{3}{7}xy^{14}$

166.

Simplify the following radical expression.

$\sqrt[3]{729x^{27}y^{216}}$

a)

$7x^3y^6$

b)

$7x^9y^{72}$

c)

$9x^3y^6$

d)

$9x^9y^{72}$

167.

Simplify the expression. Use the absolute value sign when necessary.

a)

$2y^2$

b)

$2\left|y^2\right|$

c)

$\left|2y^2\right|$

d)

$\left|2\right|y^2$

168.

Simplify the expression. Use absolute value sign when necessary.

a)

$a^4b^9$

b)

$\left|a^4\right|b^9$

c)

$a^4\left|b^9\right|$

d)

$\left|a^4b^9\right|$

169.

Simplify 6^-4

a)

6⁴

b)

1/6⁴

c)

1/6

d)

6²

170.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

171.

3x⁴ * 6x⁶

a)

18x¹⁰

b)

9x¹⁰

c)

18x²⁴

d)

9x²⁴

172.

(5x²y²)³

a)

125x⁶y⁶

b)

15x⁶y⁶

c)

8x⁵y⁵

d)

15x⁵y⁵

173.

Simplify the expression:

$\frac{a^3}{a^{12}}$

a)

$a^9$

b)

$\frac{1}{a^9}$

c)

$a^4$

d)

$\frac{1}{a^4}$

174.

When adding radicals, you must make sure the roots have the same __________ and the same ___________.

a)

Index, Radicand

b)

Radicand, Index

c)

Index, Index

d)

Radicand, Radicand

175.

Add the following radical expressions and simplify if possible.

$4\sqrt[5]{7}+8\sqrt[5]{7}$

a)

$12\sqrt[10]{7}$

b)

$12\sqrt[5]{7}$

c)

Not Possible

d)

$12\sqrt[5]{14}$

176.

Add the following radical expressions and simplify if possible.

$3\sqrt[]{15}+\sqrt[]{15}$

a)

$4\sqrt[4]{15}$

b)

$4\sqrt[]{15}$

c)

Not Possible

d)

$4\sqrt[]{30}$

177.

Add the following radical expressions and simplify if possible.

$5\sqrt[7]{6}+5\sqrt[3]{6}$

a)

$10\sqrt[4]{6}$

b)

$7\sqrt[10]{6}$

c)

Not Possible

d)

$10\sqrt[5]{6}$

178.

Add the following radical expressions and simplify if possible.

$-3\sqrt[3]{12}+5\sqrt[3]{12}$

a)

$-2\sqrt[3]{12}$

b)

$2\sqrt[3]{12}$

c)

Not Possible

d)

$-2\sqrt[3]{24}$

179.

Add the following radical expressions and simplify if possible.

$\sqrt[4]{25}+\sqrt[4]{25}$

a)

$\sqrt[8]{25}$

b)

$2\sqrt[4]{25}$

c)

Not Possible

d)

$2\sqrt[8]{50}$

180.

When subtracting radical expressions, make sure to subtract ____________ if the index and radicand are the same.

a)

Coefficients

b)

Index

181.

Subtract the following radical expressions and simplify if possible.

$8\sqrt[4]{25}-3\sqrt[4]{25}$

a)

$5\sqrt[]{25}$

b)

$5\sqrt[4]{25}$

c)

Not Possible

d)

$5\sqrt[4]{0}$

182.

Subtract the following radical expressions and simplify if possible.

$11\sqrt[]{37}-\sqrt[]{37}$

a)

$10\sqrt[]{0}$

b)

$10\sqrt[]{37}$

c)

Not Possible

d)

$11\sqrt[]{37}$

183.

Subtract the following radical expressions and simplify if possible.

$8\sqrt[3]{22}-12\sqrt[3]{22}$

a)

$4\sqrt[3]{22}$

b)

$-4\sqrt[3]{22}$

c)

Not Possible

d)

$-4\sqrt[3]{0}$

184.

Subtract the following radical expressions and simplify if possible.

$-3\sqrt[]{42}-4\sqrt[]{42}$

a)

$\sqrt[]{42}$

b)

$-7\sqrt[]{42}$

c)

Not Possible

d)

$-\sqrt[]{42}$

185.

Subtract the following radical expressions and simplify if possible.

$15\sqrt[3]{21}-11\sqrt[]{21}$

a)

$4\sqrt[]{21}$

b)

$4\sqrt[1]{21}$

c)

Not Possible

d)

$4\sqrt[3]{21}$

186.

When multiplying radical expressions, make sure to _____ coefficients.

a)

Multiply

b)

Add

187.

Multiply the following radical expressions, simplify if needed.

$3\sqrt[]{5}\cdot4\sqrt[]{6}$

a)

$12\sqrt[]{5}$

b)

$12\sqrt[]{30}$

c)

$12\sqrt[]{6}$

d)

$12$

188.

Multiply the following radical expressions, simplify if needed.

$5\sqrt[]{8}\cdot4\sqrt[]{18}$

a)

$20\sqrt[]{20}$

b)

$20\sqrt[]{144}$

c)

$9\sqrt[]{144}$

d)

$240$

189.

Multiply the following radical expressions, simplify if needed.

$3\sqrt[3]{12}\cdot7\sqrt[3]{18}$

a)

$6$

b)

$21\sqrt[3]{196}$

c)

$21\sqrt[3]{216}$

d)

$126$

190.

a)

A

b)

B

c)

C

d)

D

191.

a)

A

b)

B

c)

C

d)

D

192.

a)

A

b)

B

c)

C

d)

D

193.

a)

A

b)

B

c)

C

d)

D

194.

a)

A

b)

B

c)

C

d)

D

195.

Simplify

a)

40

b)

√14

c)

-10√10

d)

2√10

196.

Simplify

a)

9

b)

5√2 + 2

c)

10√2

d)

2√2 + 3√30

197.

Simplify:
(2√2)(3√10)

a)

6√20

b)

12√5

c)

2√5

d)

8√5

198.

Simplify:
(4√5)(7√7)

a)

28√35

b)

4√35

c)

140√7

d)

Cannot be multiplied.

199.

Simplify:
(8√10)(√3)

a)

8√30

b)

16√15

c)

24√10

d)

8√3

200.

Simplify the expression:

a)

-15 + 8√9

b)

9

c)

2 + 8√3 + 6√6

d)

9 + 14√3

201.

Simplify the expression:

a)

1

b)

9 - 4√4

c)

6 + 2√2

d)

1 - 4√2

A2-CHAPTER 5 TEST 2023-2024

Total questions: 201

Worksheet time: 10hrs 34mins

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