Mathematica 9 is now available
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Wolfram Mathematica Documentation Center
DOCUMENTATION CENTER SEARCH
New to Mathematica? Find your learning path »
Mathematica > Mathematics and Algorithms > Formula Manipulation > Algebraic Transformations > Algebraic Numbers > QuadraticIrrationalQ >
Mathematica > Mathematics and Algorithms > Number Theory > Algebraic Number Theory > Algebraic Numbers > QuadraticIrrationalQ >
Mathematica > Mathematics and Algorithms > Mathematical Functions > Number Theoretic Functions > Algebraic Number Theory > Algebraic Numbers > QuadraticIrrationalQ >
BUILT-IN MATHEMATICA SYMBOLSee Also »|More About »

QuadraticIrrationalQ

QuadraticIrrationalQ[x]
gives True if x is a quadratic irrational and False otherwise.
MORE INFORMATION
  • Quadratic irrationals have continued fractions that are ultimately periodic.
EXAMPLESCLOSE ALL
Basic Examples   (1)
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
Scope   (4)
Rational numbers are not quadratic irrationals:
is a transcendental number:
QuadraticIrrationalQ threads element-wise over lists:
QuadraticIrrationalQ returns False if not given an explicit quadratic irrational:
New in 6
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team
Format:   HTML  |  CDF