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WorksheetsComplex Numbers
Total questions: 14
Worksheet time: 50mins
Name
Class
Date
1.
Simplify:
(10+ 15i)-(48 - 30i)
(10+ 15i)-(48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
2.
Simplify:
(7 + 2i)(9 - 6i)
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i - 12i2
c)
51 - 24i
d)
58 + 60i
3.
a)
10
b)
-10
c)
10i
d)
-10i
4.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
5.
Simplify:
√-108
√-108
a)
3i√6
b)
3i√20
c)
6i√3
d)
20i√3
6.
Simplify -4√-63
a)
3i√7
b)
-12i√7
c)
-12√7
d)
36√7
7.
Find the sum.
(5-2i) + (-7+8i)
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
8.
The expression (2 + 3i)2 is equal to
a)
-5
b)
-5 + 12i
c)
13
d)
13 + 12i
9.
Simplify
a)
(-10+6i)/17
b)
(1+50i)/61
c)
(-23+36i)/25
d)
(-21+33i)/34
10.
Simplify i23
a)
i
b)
-1
c)
1
d)
-i
11.
What is the complex conjugate of 4-3i?
a)
A. 1/(4-3i)
b)
B. 1/(4+3i)
c)
C. -4 + 3i
d)
D. 4 + 3i
12.
i66
a)
1
b)
i
c)
-1
d)
-i
13.
Simplify:
-3i(4 + 2i)
-3i(4 + 2i)
a)
6 - 12i
b)
6 + 12i
c)
-12i - 6i2
d)
-12i + 6i2
14.
a)
A
b)
B
c)
C
d)
D
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