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Worksheets

COMPLEX NUMBERS 2

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

 Simplify the number by using the imaginary number i.

 40\sqrt{-40}  

a)

 2i102i\sqrt{10}  

b)

 2i10-2i\sqrt{10}  

c)

 8i58i\sqrt{5}  

d)

 8i5-8i\sqrt{5}  

2.

Simplify the number by using the imaginary number i.

 63\sqrt{-63}  

a)

 3i7-3i\sqrt{7}  

b)

 9i79i\sqrt{7}  

c)

 9i7-9i\sqrt{7}  

d)

 3i73i\sqrt{7}  

3.

Write the complex number in the form a+bi.

 5+255+\sqrt{-25}  

a)

 55i5-5i  

b)

 5+5i5+5i  

c)

 5+5i-5+5i  

d)

 5+5i55+5i\sqrt{5}  

4.

Write the complex number in the form a+bi.

 45 13\sqrt{-45}\ -13  

a)

 13+3i5-13+3i\sqrt{5}  

b)

 133i513-3i\sqrt{5}  

c)

 133i5-13-3i\sqrt{5}  

d)

 13+5i3-13+5i\sqrt{3}  

5.

Write the complex number in the form a+bi.

 503-\sqrt{-50}-3  

a)

 35i23-5i\sqrt{2}  

b)

 3+2i5-3+2i\sqrt{5}  

c)

 35i2-3-5i\sqrt{2}  

d)

 3+2i53+2i\sqrt{5}  

6.

Write the complex number in the form a+bi.

 44+7-\sqrt{-44}+7  

a)

 7+2i11-7+2i\sqrt{11}  

b)

 72i117-2i\sqrt{11}  

c)

 711i27-11i\sqrt{2}  

d)

 711i2-7-11i\sqrt{2}  

7.

Find

 i72i^{72}  

a)

1

b)

-1

c)

i

d)

-i

8.

Find

 i435i^{435}  

a)

1

b)

-1

c)

i

d)

-i

9.

Find

 i5321i^{5321}  

a)

1

b)

-1

c)

i

d)

-i

10.

Find

 i1222i^{1222}  

a)

1

b)

-1

c)

i

d)

-i

11.

Find

 i491i^{491}  

a)

1

b)

-1

c)

i

d)

-i

12.

Find

 2(i494)2\left(i^{494}\right)  

a)

2

b)

-2

c)

2i

d)

-2i

13.

Find

 2(i591)2\left(i^{591}\right)  

a)

2

b)

-2

c)

2i

d)

-2i

14.

Find

 5(i27)5\left(i^{27}\right)  

a)

5

b)

-5

c)

5i

d)

-5i

15.

Find

 4(i75)-4\left(i^{75}\right)  

a)

4

b)

-4

c)

4i

d)

-4i