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Radical Integer

A radical integer is a number obtained by closing the Integers under Addition, Division, Multiplication, Subtraction, and Root extraction. An example of such a number is ${\root 3\of
7}+\sqrt{-2}-\sqrt{3+{\root 4\of 1+\sqrt{2}}}$. The radical integers are a subring of the Algebraic Integers. If there are Algebraic Integers which are not radical integers, they must at least be cubic.

See also Algebraic Integer, Algebraic Number, Euclidean Number

© 1996-9 Eric W. Weisstein