QuadraticIrrationalQ
Details

- QuadraticIrrationalQ[x] tests whether x can be expressed in the form
, where
,
and
are integers.
- Quadratic irrationals have continued fractions that are ultimately periodic.
Examples
open all close allBasic Examples (1)
Scope (4)
Rational numbers are not quadratic irrationals:
QuadraticIrrationalQ threads element-wise over lists:
QuadraticIrrationalQ returns False if not given an explicit quadratic irrational:
See Also
Related Guides
History
Text
Wolfram Research (2007), QuadraticIrrationalQ, Wolfram Language function, https://reference.wolfram.com/language/ref/QuadraticIrrationalQ.html.
CMS
Wolfram Language. 2007. "QuadraticIrrationalQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/QuadraticIrrationalQ.html.
APA
Wolfram Language. (2007). QuadraticIrrationalQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/QuadraticIrrationalQ.html
BibTeX
@misc{reference.wolfram_2025_quadraticirrationalq, author="Wolfram Research", title="{QuadraticIrrationalQ}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/QuadraticIrrationalQ.html}", note=[Accessed: 08-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_quadraticirrationalq, organization={Wolfram Research}, title={QuadraticIrrationalQ}, year={2007}, url={https://reference.wolfram.com/language/ref/QuadraticIrrationalQ.html}, note=[Accessed: 08-August-2025]}