Operations with Radicals and Complex Numbers Quiz

Test your knowledge on square roots, conjugates, absolute values, and arguments of complex numbers with this quiz.

#1

What is the square root of 49?

6
8
7
5
#2

Which of the following is an irrational number?

√16
3/4
π
2
#3

What is the absolute value of -8?

-8
8
0
Undefined
#4

What is the real part of the complex number 5 + 2i?

5
2
0
Undefined
#5

What is the square root of -1?

1
0
i
-i
#6

What is the modulus of the complex number -3 + 4i?

5
-5
7
-7
#7

What is the conjugate of 4 + 3i?

4 - 3i
4 + 3i
-4 - 3i
-4 + 3i
#8

What is the product of (2 + 3i) and (4 - 5i)?

8 + 7i
14 - 7i
8 - 7i
14 + 7i
#9

What is the simplified form of √75?

5√3
25√3
15√3
5√15
#10

What is the cube root of -64?

-4
-6
4
6
#11

What is the product of (3 + 2i) and its conjugate?

5
13
9
25
#12

What is the simplified form of √(-16)?

4i
2i
-4
4
#13

What is the value of √(-9)?

3i
-3
3
-3i
#14

What is the principal argument of the complex number 2 - 2√3i?

π/3
π/6
5π/6
π/4
#15

What is the argument of the complex number -2 + 2i?

π/2
-π/4
-3π/4
π
#16

What is the cube root of -8?

-2
2
2i
-2i
#17

What is the argument of the complex number 1 + i?

π/2
π/4
-π/4
-π/2
#18

What is the principal argument of the complex number -4 + 4√3i?

-π/3
-π/6
π/3
π/6

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