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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 12,970

1. What are the Real and Imaginary parts of the number 4 -i√3.

2. What is the conjugate of

3. If z=2 - i√3, then what is the value of

4. Express the following complex number in the forma + ib.

5. Find the real and imaginary parts of

6. If

find the conjugate of .

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**glenn101****Member**- Registered: 2008-04-02
- Posts: 108

1.

real part is 4

complex part is -i√3.

2.

the conjugate is

1/2+1/2*i

4.

5+5i 3+4i

------*------

3-4i 3+4i

= 15+20i+15i+20i^2

--------

25

= 15-20+20i+15i

-------

25

= -5+35i

------

25

= -1 7

---+---*i

5 5

Thats all I can do with my complex knowledge:)

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 12,970

glenn101,

Your answers are all correct,

the only trivial mistake I noticed is in answer to 1, where when the real and imaginary parts are said, the imaginary part shouldn't include 'i'.

Well done!!!

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**careless25****Real Member**- Registered: 2008-07-24
- Posts: 551

4. (-5 + 35i)/ 25

-0.2 + 1.4i

Edit: Oops!

*Last edited by careless25 (2008-12-30 04:23:35)*

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 12,970

A minor mistake, careless25. Please try and post the correct answer.

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