# Worksheet: Multiplying Complex Numbers

In this worksheet, we will practice multiplying two complex numbers.

Q1:

Expand and simplify .

• A
• B
• C
• D
• E

Q2:

Multiply by .

• A
• B
• C
• D
• E

Q3:

What is ?

• A
• B
• C
• D

Q4:

What is ?

• A
• B
• C
• D
• E

Q5:

Simplify .

• A
• B
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• D
• E

Q6:

If and , what is ?

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• D
• E

Q7:

Simplify .

• A
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• D
• E

Q8:

If , express in the form .

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• D
• E

Q9:

Given that , determine the algebraic form of .

• A
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• C
• D

Q10:

Simplify .

• A
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• C
• D

Q11:

Simplify .

• A
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• C
• D

Q12:

Calculate .

Q13:

Simplify .

Q14:

What is ?

• A
• B
• C26
• D

Q15:

What is ?

• A
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• D
• E

Q16:

Simplify .

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• D
• E

Q17:

Compute the product of and .

• A
• B
• C
• D2

Q18:

If and , find .

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• E

Q19:

What is ?

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• E

Q20:

Determine all the real values of and that satisfy the equation .

• A or
• B or
• C or
• D or

Q21:

If , find .

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• C
• D
• E

Q22:

If and , is it true that ?

• Ano
• Byes

Q23:

Given that , where and are real numbers, find the value of and the value of .

• A,
• B,
• C,
• D,

Q24:

Given that , where and are real numbers, find the value of and the value of .

• A,
• B,
• C,
• D,
• E,

Q25:

Given that , where and are real numbers, find the value of and the value of .

• A,
• B,
• C,
• D,
• E,