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REAL NUMBER THAT CANNOT BE EXPRESSED AS A RATIO OF INTEGERS
Irrational numbers; Irrational Numbers; Irrational.number; Irrational Number; Irrationals; Incommensurable magnitudes; History of irrational numbers; First Crisis of Mathematics
In mathematics, the irrational numbers (from in- prefix assimilated to ir- (negative prefix, privative) + rational) are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
REAL NUMBER THAT CANNOT BE EXPRESSED AS A RATIO OF INTEGERS
Irrational numbers; Irrational Numbers; Irrational.number; Irrational Number; Irrationals; Incommensurable magnitudes; History of irrational numbers; First Crisis of Mathematics
<mathematics> A real number which is not a {rational
number}, i.e. it is not the ratio of two integers.
The decimal expansion of an irrational is infinite but does
not end in an infinite repeating sequence of digits.
Examples of irrational numbers are pi, e and the square
root of two.
(1995-04-12)
In mathematics, a quadratic irrationalnumber (also known as a quadratic irrational, a quadratic irrationality or quadratic surd) is an irrationalnumber that is the solution to some quadratic equation with rational coefficients which is irreducible over the rational numbers.Jörn Steuding, Diophantine Analysis, (2005), Chapman & Hall, p.
1. Sometimes they strike gold; but, even if they come away empty–handed, the experience of just sizing up and calibrating what‘s on offer seems reason enough to have invested an irrational number of hours.