irrational conjugate Theorem

[bugzpodder]

Hi, I am looking for a reference to the irrational conjugate theorem on the net. unfortunately, i only found a discussion from dr. math and in the footnote of another page. i was wondering if anyone has some websites or info that formally states the theorem.

[RAEsquivelC]

Do you mean, as you stated, "the Irrational Conjugate Theorem", or, as Dr. Math. states, "the Irrational Conjugate Roots Theorem"?

[bugzpodder]

even less matches on google for the irrational conjugate roots theorem!!! but i think they are the same thing

[RAEsquivelC]

bugzpodder, you wrote:

“Hi, I am looking for a reference to the irrational conjugate theorem on the net. unfortunately, i only found a discussion from dr. math and in the footnote of another page. i was wondering if anyone has some websites or info that formally states the theorem.”

Ás to the last part of your statement, DrMath.com, at
http://mathforum.org/library/drmath/view/52607.html
states:

“The irrational conjugate roots theorem says: Let p(x) be any polynomial with rational coefficients. If a + b*sqrt(c) is a root of p(x), where sqrt(c) is irrational and a and b are rational, then another root is a - b*sqrt(c). “

Is this the “info that formally states the theorum” that you are looking for? If not, please describe in more detail what your real question is.

[bugzpodder]

i dont think this is formal enough. a university website like an ****.edu or a site like mathworld is formal. okay, fine, can anyone prove it?