AnswersAlgebra III AComplex Numbers

Complex Numbers Answers

19 verified answers
1
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Use the product property of radicals to simplify the following radical. =

Question illustration
A
9i
B
–9i
C
9
D
–9
2
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Simplify

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A
Option
B
Option
C
Option
D
Option
3

Use the inverse relationship to complete the expression.If i = , then = .

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Answer:

-1

4

Using laws of exponents, .

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

Use the example as a model. Simplify the expressions. =

Question illustration
A
i
B
–i
C
1
D
–1
6

=

Question illustration
A
i
B
–i
C
1
D
–1
7

Check each true statement about the number.

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A
7 is the real part of the number.
B
is the imaginary part of the number.
C
is the coefficient of .
D
This number is the sum of a real number and an imaginary number.
8

A: + i

Answer:

-2

9

A: + i

Answer:

3

10

B: + i

Answer:

-1

11

B: + i

Answer:

-1

12

C: + i

Answer:

3

13

C: + i

Answer:

-4

14

D: + i

Answer:

4

15

D: + i

Answer:

1

16

The absolute value of any complex number a + bi is the from (a, b) to (0, 0) in the complex plane.

Answer:

distance

17

Because |a + bi| is equal to a distance, |a + bi| will always be a number.

A
negative imaginary
B
positive imaginary
C
negative real
D
positive real
18

Which of the following can be used to find the absolute value of 4 – 7i?

A
Option
B
Option
C
Option
D
Option
19

Calculate ||.The absolute value of is equal to the square root of

Question illustration
Answer:

65

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