# Lesson Worksheet: Introduction to Complex Numbers Mathematics

In this worksheet, we will practice dealing with imaginary numbers, knowing that complex numbers are made of a real part and an imaginary part.

**Q1: **

True or False: Any complex number is also a real number.

- AFalse
- BTrue

**Q4: **

True or False: Any imaginary number is also a complex number.

- AFalse
- BTrue

**Q8: **

If is a real number, what is the value of ?

**Q9: **

If is an imaginary number, what is the value of ?

**Q14: **

The complex numbers are a field in part because .

- A is a real vector space
- Bfor every non-zero there is a such that
- C for all
- D

**Q17: **

What type of number is ?

- AReal
- BPure imaginary
- CComplex

**Q18: **

Which of the following defines ?

- AIt is the number whose square equals 1.
- BIt is the number whose square equals .
- CIt is the number whose square equals .
- DIt is the number whose square equals 2.

**Q19: **

Solve the following equation: .

- A
- B
- C
- D
- E

**Q20: **

True or False: The solution of the equation exists in the set of real numbers .

- ATrue
- BFalse

**Q21: **

What is the value of ?

**Q22: **

What is the value of ?

**Q23: **

What is the value of ?

- A8
- B
- C
- D
- E

**Q24: **

Complete the following: If the two complex numbers and are equal, then and .

- A3, 2
- B3, 4
- C2, 2
- D2, 3
- E3, 3

**Q25: **

Find .

- A
- B
- C4
- D
- E