conjugate of a real no is again that specific
real no then why conjugate of 2+sqrt3 is 2-sqrt 3???

Question

conjugate of a real no is again that specific
 real no then why conjugate of 2+sqrt3 is 2-sqrt 3???

parthkohli · Answer

I don't get your question since $2 - \sqrt{3}$ is a real number as well.

anonymous · Answer

no i mean conjugate of a real no is again that real no means x conjugate is x if x

anonymous · Answer

belongs to R

parthkohli · Answer

$2 + \sqrt{3}$ and $2 - \sqrt{3}$ both belong to $\mathbb R$.

anonymous · Answer

but both are not same

parthkohli · Answer

Eh? Two conjugates are never the same...
In fact, two unequal real numbers are never the same

anonymous · Answer

in complex analysis it is a result that "conjugate of z is z iff z is real" get it?

parthkohli · Answer

But this thing is talking about the complex conjugate. :-)

parthkohli · Answer

The general conjugate and the complex conjugate are totally different.

parthkohli · Answer

The complex conjugate of $2 + \sqrt{3}$ is $2 + \sqrt{3}$ only. 
But the general conjugate has no explicit definition. It's just changing the sign in between.

anonymous · Answer

whats the difference.. then what do you say about conjugate of 2???

anonymous · Answer

i dont think there may be a difference between real and complex conjugate