Complex Numbers and Their Properties
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What theorem is used to find the values of complex numbers in this lesson?
Binomial Theorem
De Moivre's Theorem
Fundamental Theorem of Algebra
Pythagorean Theorem
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in converting a complex number to polar form?
Determining the imaginary part
Finding the real part
Calculating the modulus
Identifying the argument
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the modulus of the complex number 1 + 3i?
√10
2
3
1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When applying De Moivre's theorem, what root is taken to find the fourth root of a complex number?
Fifth root
Fourth root
Cube root
Square root
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many fourth roots does a complex number have?
Two
Three
Five
Four
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle increment between the fourth roots on the complex plane?
30 degrees
45 degrees
60 degrees
90 degrees
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the principal argument of the complex number 1 + 3i?
π/3
π/2
π/4
π/6
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