quadratic surd

quadratic surd

[kwä′drad·ik ‚sərd]
(mathematics)
A square root of a rational number that is itself an irrational number.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
I forget exactly how Lewis Carroll's poem goes in which he rhymed "1 2/3" with "quadratic surds," but he may well have been the first poetician.
A particular class of irrational numbers is comprised of the quadratic surds, that is, all irrational numbers x which satisfy equations a[x.sup.2] + bx + c = 0, where coefficients a, b, and c are integers, and a is positive.
The high degree of regularity produced in the binary sequence determined by [-square root of 2] is a reflection of the periodicity of its continued fraction representation, a property shared by all quadratic surds. Continued fractions are also intimately linked to well-formed scales and their duals.