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Worksheets

Complex Number

Total questions: 10

Worksheet time: 1hrs 24mins

Name
Class
Date
1.

49=\sqrt[]{-49}=  

(a)  

2.

5100=5-\sqrt[]{-100}=  

(a)  

3.

5i5+i3=5i^5+i^3=  

a)

4i

b)

-4i

c)

-4

4.

(1+i)+(2i)=\left(1+i\right)+\left(2-i\right)=  

(a)  

5.

(1+i)(2i)=\left(1+i\right)\left(2-i\right)=  

a)

2+i2+i  

b)

3+i3+i  

c)

1+i1+i  

6.

(3+i)-(1-i)=

(a)  

7.

Solve 2i1+i\frac{2-i}{1+i}  and write answer in a+bi

a)

1232i\frac{1}{2}-\frac{3}{2}i  

b)

1i2\frac{1-i}{2}  

c)

12i+12-\frac{1}{2}i+\frac{1}{2}  

8.

Find argument for p=3-i

a)

  18.43°18.43\degree  

b)

161.57°161.57\degree   

c)

198.43°198.43\degree  

9.

Find modulus for p=3+i

a)

10\sqrt[]{10}  

b)

9\sqrt[]{9}  

c)

7\sqrt[]{7}  

10.

(245°)×(5cos 333.43°+isin333.43°)\left(\sqrt[]{2}\angle45\degree\right)\times\left(\sqrt[]{5}\cos\ 333.43\degree+i\sin333.43\degree\right)  

a)

10378.43°10\angle378.43\degree  

b)

10288.43°\sqrt[]{10}\angle288.43\degree  

c)

10378.43°\sqrt[]{10}\angle378.43\degree