AnswersAlgebra III AComplex Numbers

Complex Numbers Answers

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Which expression is equivalent to i 233?

A
1
B
–1
C
i
D
–i
2
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What is the square root of –16?

A
–8i
B
–4i
C
4i
D
8i
3

If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?

A
2
B
4
C
9
D
10
4

If , what is the value of i 3?

Question illustration
A
–1
B
i
C
1
D
–i
5

What is the sum of and ?

Question illustration
A
4 StartRoot 2 EndRoot
Option A
B
4 StartRoot 2 EndRoot i
Option B
C
5 StartRoot 2 EndRoot
Option C
D
5 StartRoot 2 EndRoot i
Option D
6

What is the distance from the origin to point A graphed on the complex plane below?

Question illustration
A
StartRoot 5 EndRoot
Option A
B
StartRoot 13 EndRoot
Option B
C
9
D
13
7

Which expression is equivalent to ?

Question illustration
A
Negative 4 StartRoot 5 EndRoot
Option A
B
Negative 4 StartRoot 5 EndRoot i
Option B
C
4 StartRoot 5 EndRoot i
Option C
D
4 StartRoot 5 EndRoot
Option D
8

In which quadrant is the number –14 – 5i located on the complex plane?

A
I
B
II
C
III
D
IV
9

Which of the following is equivalent to ?

Question illustration
A
5i
B
18 – 5i
C
18 + 5i
D
23
10

Which complex number has a distance of from the origin on the complex plane?

Question illustration
A
2 + 15i
B
17 + i
C
20 – 3i
D
4 – i

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