# Worksheet: Pure Imaginary Numbers

In this worksheet, we will practice evaluating, simplifying, and multiplying pure imaginary numbers and solving equations over the set of pure imaginary numbers.

Q1:

Solve the equation .

• A
• B
• C
• D
• E

Q2:

Simplify .

Q3:

Simplify .

• A32
• B
• C4
• D
• E

Q4:

Solve the equation .

• A
• B
• C
• D
• E

Q5:

Simplify .

• A
• B
• C
• D
• E

Q6:

Simplify .

• A
• B
• C
• D1

Q7:

Simplify .

• A
• B
• C1
• D

Q8:

Simplify .

• A
• B
• C
• D
• E

Q9:

Determine the solution set of over the set of complex numbers.

• A
• B
• C
• D

Q10:

Simplify , given that .

• A
• B
• C1
• D

Q11:

Given that is an integer, simplify .

• A
• B
• C
• D1

Q12:

Simplify .

• A1
• B
• C
• D

Q13:

Simplify the expression .

• A
• B
• C1
• D

Q14:

Simplify .

• A
• B
• C
• D1

Q15:

What is the value of ?

Q16:

Simplify .

• A
• B
• C4
• D64

Q17:

Simplify .

• A
• B64
• C
• D4
• E

Q18:

Simplify .

Q19:

Simplify .

• A
• B
• C
• D1

Q20:

Simplify .

• A
• B
• C
• D1

Q21:

Find the value of .

• A
• B
• C12
• D
• E

Q22:

What is ?

• A
• B
• C
• D
• E5

Q23:

What is the value of ?

• A
• B
• C
• D1

Q24:

What is the value of ?

Q25:

What is the value of ?