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Worksheets

Imaginary Numbers

Total questions: 10

Worksheet time: 1hrs 4mins

Name
Class
Date
1.
Simplify √-4
a)
2i
b)
-2i
c)
2
d)
4i
2.
Simplify √-28
a)
-√28
b)
-2i√7
c)
2i√7
d)
28i
3.

Simplify 2√-40

a)

2i√40

b)

-4i√10

c)

4i√10

d)

-16i√2

4.
a)
10
b)
-10
c)
10i
d)
-10i
5.
      1.                             
a)
A
b)
B
c)
C
d)
D
6.

Why did mathematicians create the concept of i?

a)

It was their favorite letter.

b)

They were frustrated with equations that were said to be "impossible" due to a negative number under a square root.

c)

They like to make things more complicated.

7.

Why does a negative under a square root turn into what we now know is called an imaginary number?

a)

You can not have a number multiplied by itself and receive a negative number as an answer.

b)

There are no factors of negative numbers.

c)

A negative number can not be multiplied by a positive.

8.
Which of the following is equivalent to 
(5-3i)+(-6+2i)?
a)
-1-5i
b)
-1-i
c)
11-i
d)
-30-6i
9.
Which of the following is equivalent to (3-5i)-(6+2i)
a)
-3-7i
b)
-3-3i
c)
3-3i
d)
9-7i
10.
√-36
a)
6
b)
-6
c)
-6i
d)
6i