# Lesson Worksheet: Complex Number Conjugates Mathematics • 12th Grade

In this worksheet, we will practice using the properties of conjugate numbers to evaluate an expression.

Q1:

How do you find the conjugate of a complex number?

• AChange the sign of both the real and imaginary parts.
• BSwap the real and imaginary parts.
• CChange the sign of its imaginary part.
• DSwap the real and imaginary parts, then change the sign of them both.
• EChange the sign of its real part.

Q2:

What is the conjugate of the complex number ?

• A
• B
• C
• D
• E

Q3:

If is a real number, what will its conjugate be equal to?

• A
• B
• C
• D

Q4:

If , what is ?

Q5:

Find the complex conjugate of and the sum of this number with its complex conjugate.

• A,
• B,
• C, 0
• D,

Q6:

Find the complex conjugate of and the product of this number with its complex conjugate.

• A, 1
• B, 0
• C, 2
• D, 0

Q7:

Solve .

• A,
• B,
• C,
• D,
• E,

Q8:

Simplify .

Q9:

Find the complex number that satisfies the equations

• A
• B
• C
• D
• E

Q10:

Consider and .

Calculate and .

• A,
• B,
• C,
• D,
• E,

Find and .

• A,
• B,
• C,
• D,
• E,

Find and .

• A,
• B,
• C,
• D,
• E,