Deck 11: Roots, Radicals, and Complex Numbers

Question 1

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) 4
B) 2
C) 3
D) not a real number

Answer 1

2

Question 2

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) 5
B) 5.39
C) 5.4
D) not a real number

Answer 2

5.39

Question 3

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.
-

A) 5
B) -5
C) -11.18
D) not a real number

Answer 3

5

Question 4

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A)
B) -256
C) -4
D) not a real number

Question 5

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) 1.07
B)
C) 0.4
D) 1

Question 6

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) 100
B) -10
C) 10
D) not a real number

Question 7

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A)
B)
C)
D) not a real number

Question 8

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) 4
B) -2
C) 3
D) not a real number

Question 9

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) 36.5
B) 3.48
C) 3.49
D) not a real number

Question 10

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) 16
B) 4
C) 64
D) not a real number

Question 11

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A)
B)
C)
D)

Question 12

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A)
B)
C)
D) not a real number

Question 13

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) 2
B)
C) 4
D)

Question 14

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) -5
B) -100
C) -20
D) not a real number

Question 15

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A)
B)
C)
D) not a real number

Question 16

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) 8
B) -8
C) 4096
D) not a real number

Question 17

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) -6.58
B) 6.59
C) -6.59
D) not a real number

Question 18

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A)
B) 0.19
C)
D) not a real number

Question 19

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) -16
B) -2
C) -8
D) not a real number

Question 20

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.

A) 6
B)
C) 1296
D) not a real number

Question 21

Find the indicated value of the function. Use your calculator to approximate irrational numbers. Round irrational
numbers to the nearest thousandth.
Find .

A) 2
B) 4
C) -4
D) not a real number

Question 22

Use absolute value to evaluate.

A)
B) 9
C) 6561
D) not a real number

Question 23

Find the indicated value of the function. Use your calculator to approximate irrational numbers. Round irrational
numbers to the nearest thousandth.
Find f(4) if f(x) =

A) 6.325
B) 6.481
C) 4.69
D) 7.211

Question 24

Write as an absolute value.

A) |x + 5|
B) x + 5
C)
D)

Question 25

Use absolute value to evaluate.

A) -10
B) 10
C) 10,000
D) not a real number

Question 26

Use absolute value to evaluate.

A)
B)
C)
D) not a real number

Question 27

Use absolute value to evaluate.

A) 4.45
B) -2.11
C) 2.11
D) not a real number

Question 28

Write as an absolute value.

A) |z + 2|
B)
C) z - 2
D) z + 2

Question 29

Write the expression in exponential form. Assume that all variables represent positive real numbers.

A)
B)
C)
D)

Question 30

Find the indicated value of the function. Use your calculator to approximate irrational numbers. Round irrational
numbers to the nearest thousandth.
Find r(27) if r(x) =

A) 22
B) -4
C) 4
D) 14

Question 31

Write as an absolute value.

A)
B)
C)
D)

Question 32

Write the expression in exponential form. Assume that all variables represent positive real numbers.

A)
B)
C)
D)

Question 33

Use absolute value to evaluate.

A)
B) 9
C) 6561
D) not a real number

Question 34

Write the expression in exponential form. Assume that all variables represent positive real numbers.

A)
B)
C)
D)

Question 35

Write the expression in exponential form. Assume that all variables represent positive real numbers.

A)
B)
C)
D)

Question 36

Use absolute value to evaluate.

A) -18.3
B) 334.89
C) 18.3
D) not a real number

Question 37

Write as an absolute value.

A) 9x + 2y
B) |9x + 2y|
C) |9x - 2y|
D) 9x - 2y

Question 38

Write as an absolute value.

A) 11x + 7y
B) |11x - 7y|
C) 11x - 7y
D) |11x + 7y|

Question 39

Write as an absolute value.

A)
B) y
C) -y
D)

Question 40

Write as an absolute value.

A)
B)
C)
D)

Question 41

Evaluate if possible. If the expression is not a real number, so state.

A) 243
B) 81
C) -27
D) -3

Question 42

Simplify the radical expression. Write the answer in radical form when appropriate.

A)
B)
C)
D)

Question 43

Write the expression in exponential form. Assume that all variables represent positive real numbers.

A)
B)
C)
D)

Question 44

Write the expression in radical form. Assume that all variables represent positive real numbers.
x

A)
B)
C)
D)

Question 45

Evaluate if possible. If the expression is not a real number, so state.

A) 10
B) 5
C) 20
D) 40

Question 46

Evaluate if possible. If the expression is not a real number, so state.

A) 19,683
B) 2187
C) 81
D) 6561

Question 47

Simplify the radical expression. Write the answer in radical form when appropriate.

A)
B)
C)
D)

Question 48

Simplify the radical expression. Write the answer in radical form when appropriate.

A)
B)
C)
D)

Question 49

Simplify the radical expression. Write the answer in radical form when appropriate.

A)
B)
C)
D)

Question 50

Evaluate if possible. If the expression is not a real number, so state.

A) -81
B) 729
C) 81
D) not a real number

Question 51

Evaluate if possible. If the expression is not a real number, so state.

A) 128
B) 16
C) 64
D) 32

Question 52

Simplify the radical expression. Write the answer in radical form when appropriate.

A)
B)
C)
D)

Question 53

Evaluate if possible. If the expression is not a real number, so state.

A) -4
B) 4
C) 256
D) not a real number

Question 54

Evaluate if possible. If the expression is not a real number, so state.

A) 5
B) 20
C) 3125
D) 100

Question 55

Write the expression in exponential form. Assume that all variables represent positive real numbers.

A)
B)
C)
D)

Question 56

Evaluate if possible. If the expression is not a real number, so state.

A)
B) 2
C) -2
D)

Question 57

Write the expression in radical form. Assume that all variables represent positive real numbers.

A)
B)
C)
D)

Question 58

Write the expression in radical form. Assume that all variables represent positive real numbers.

A)
B)
C)
D)

Question 59

Write the expression in radical form. Assume that all variables represent positive real numbers.

A)
B)
C)
D)

Question 60

Evaluate if possible. If the expression is not a real number, so state.

A) 19,683
B) 243
C) 6561
D) 2187

Question 61

Evaluate if possible. If the expression is not a real number, so state.

A) -9
B) 36
C) 18
D)

Question 62

Multiply.

A)
B)
C)
D)

Question 63

Evaluate if possible. If the expression is not a real number, so state.

A)
B)
C)
D) - 8

Question 64

Evaluate if possible. If the expression is not a real number, so state.

A) -1000
B)
C) 1000
D)

Question 65

Evaluate if possible. If the expression is not a real number, so state.

A)
B) 12
C) 24
D)

Question 66

Factor. Write the answer without negative exponents.

A)
B)
C)
D)

Question 67

Simplify. Write the answer in exponential form without negative exponents.

A)
B)
C)
D)

Question 68

Simplify. Write the answer in exponential form without negative exponents.

A)
B)
C)
D)

Question 69

Simplify. Write the answer in exponential form without negative exponents.

A)
B)
C)
D)

Question 70

Simplify. Write the answer in exponential form without negative exponents.

A) x
B)
C)
D)

Question 71

Simplify. Write the answer in exponential form without negative exponents.

A)
B)
C)
D)

Question 72

Evaluate if possible. If the expression is not a real number, so state.

A)
B)
C) 72
D) 43

Question 73

Simplify. Write the answer in exponential form without negative exponents.

A)
B)
C)
D)

Question 74

Multiply.
-

A)
B)
C)
D)

Question 75

Evaluate if possible. If the expression is not a real number, so state.

A)
B)
C)
D) -2

Question 76

Evaluate if possible. If the expression is not a real number, so state.

A)
B) 2
C) 1
D) not a real number

Question 77

Simplify. Write the answer in exponential form without negative exponents.

A)
B)
C)
D)

Question 78

Multiply.

A)
B)
C)
D)

Question 79

Simplify. Write the answer in exponential form without negative exponents.

A)
B)
C)
D)

Question 80

Evaluate if possible. If the expression is not a real number, so state.

A)
B)
C)
D)