Complex Numbers I - Ambitious

Question 1: Solve:

(7 + 5 i) - (2 + 3 i)

A

5 + 2 i

B

12 + 8 i

C

7

D

5 - 2 i

Question 2: Solve:

(2 + 3 i) (3 + 4 i)

A

6 - 12 i

B

2 - 12 i

C

4 + 17 i

D

- 6 + 17 i

Question 3: Simplify:

i^{13}

A

i

B

- 1

C

1

D

- i

Question 4: Simplify:

{(3 - 4 i)}^{2}

A

- 7 - 24 i

B

- i

C

25 - 24 i

D

9 - 16 i

Question 5: Simplify: (2 - 5i)(2 + 5i)

A

- 16

B

4 - 25 i

C

4 + 25 i

D

29

Test: Complex Numbers I - Ambitious