AnswersAlgebra III AComplex Numbers

Complex Numbers Answers

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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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

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

Question illustration
A
i
B
–i
C
1
D
–1
4

=

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

Check each true statement about the number. 7 minus StartRoot 3 EndRoot i

Question illustration
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.
6

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

A
Option
B
Option
C
Option
D
Option
7

Using laws of exponents, i cubed = (i squared) i = –i–11i.

Question illustration
A
–i
B
–1
C
1
D
i
8

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

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Complex Numbers Answers — Algebra III A