How to solve complex

[Guest]

[tex]Im\frac{\sqrt{2}+i\sqrt{2}}{1-i\sqrt{3}}[/tex]

[nathi123]

Let the complex number is z = [tex]\frac{\sqrt{2}+i\sqrt{2}}{1-i\sqrt{3}}=\frac{\sqrt{2}(1+i)(1+i\sqrt{3})}{(1-i\sqrt{3})(1+i\sqrt{3})}[/tex]
[tex]\Rightarrow z=\frac{\sqrt{2}(1+i)(1+i\sqrt{3})}{1-3i^{2}}=\frac{\sqrt{2}}{4}(1-\sqrt{3}+(1+\sqrt{3})i)\Rightarrow Imz = \frac{\sqrt{2}(1+\sqrt{3})}{4}[/tex]
(as [tex]i^{2}= -1[/tex]).

[Guest]

I found that online calculator can calculate complex expressions
http://calcpad.net/Calculator
Select 'Complex' and write
im((sqr(2) + i*sqr(2))/(1 - i*sqr(3)))
I get
0.965926
However, if this is for your school, will not learn anything like that.
Try to solve by yourself and then use it only to check your answer.

[Guest]

I found that online calculator can calculate complex expressions
http://calcpad.net/Calculator
Select 'Complex' and write
im((sqr(2) + i*sqr(2))/(1 - i*sqr(3)))
I get
0.965926

Do you understand that this is NOT the correct answer but only an approximation to it?

However, if this is for your school, will not learn anything like that.
Try to solve by yourself and then use it only to check your answer.