Algebraic NumberYou are currentlybrowsing as guest. Click here to log in 

An Algebraic Number is a number $x$ which satisfies an algebraic equation i.e. an equation of the form
$a_0x^n+a_1x^{n1}+...+a_n=0$
where $a_0,{\quad}a_1,{\quad}\ldots{\quad}a_n$ are integers, not all zero.
Real numbers which are not algebraic numbers are called transcendental numbers.
The size of the set of algebraic numbers is the size of countable sets $\aleph_0.$
Exercise: By considering the equation $ax+b=0$ prove that all rational numbers are also algebraic numbers.
Last change to this page Full Page history Links to this page 
Edit this page (with sufficient authority) Change password 
Recent changes All pages Search 