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 Algebraic Numbers Real numbers that can occur as roots of polynomial equations that have integer coefficients. 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