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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.
Do you mean, as you stated, "the Irrational Conjugate Theorem", or, as Dr. Math. states, "the Irrational Conjugate Roots Theorem"?
even less matches on google for the irrational conjugate roots theorem!!! but i think they are the same thing
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.
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?