algebraic numbers

Algebraic Numbers

Real numbers that can occur as roots of polynomialequations that have integercoefficients. For example, all rational numbers are algebraic. So are all surds such as \(\sqrt 7 \), as well as numbers built from surds such as the number below.

\[\frac{{42 + \sqrt[3]{{15.2}}}}{{\sqrt {4 - \sqrt 3 } }}\].

Note: Real numbers which are not algebraic are known as transcendental numbers.




See also

Irrational numbers, natural numbers, whole numbers, imaginary numbers, complex numbers

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