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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,087

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 .

Character is who you are when no one is looking.

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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:)

"If your going through hell, keep going."

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,087

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!!!

Character is who you are when no one is looking.

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**careless25****Real Member**- Registered: 2008-07-24
- Posts: 559

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: 16,087

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

Character is who you are when no one is looking.

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