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QuadraticIrrationalQ

QuadraticIrrationalQ[x]
gives True if x is a quadratic irrational and False otherwise.
  • QuadraticIrrationalQ[x] tests whether x can be expressed in the form , where a, b and c are integers.
  • Quadratic irrationals have continued fractions that are ultimately periodic.
EXAMPLESCLOSE ALL
Scope   (4)
Rational numbers are not quadratic irrationals:
Pi is a transcendental number:
QuadraticIrrationalQ threads element-wise over lists:
QuadraticIrrationalQ returns False if not given an explicit quadratic irrational:
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