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Algebraická čísla

In Axiom

Pro srovnani s jinymi CAS zvolte Derive Macsyma Maple Mathematica Reduce
sqrt2:= rootOf(sqrt2**2-2)
    sqrt2
                                                        Type: AlgebraicNumber
1/(sqrt2+1)
        1
    ---------
    sqrt2 + 1
                                                        Type: AlgebraicNumber
(x**2+2*sqrt2*x+2)/(x+sqrt2)
    x + sqrt2
                                    Type: Fraction Polynomial AlgebraicNumber
on gcd;

(x**3+(sqrt2-2)*x**2-(2*sqrt2+3)*x-3*sqrt2)/(x**2-2);

       2
      x  - 2x - 3
    ---------------
        - sqrt2 - 4
    x + -----------
        2sqrt2 + 1
                                    Type: Fraction Polynomial AlgebraicNumber
normalize
       2                   2
    (2x  - 4x - 6)sqrt2 + x  - 2x - 3
          (2x - 1)sqrt2 + x - 4
                                                     Type: Expression Integer

sqrt(x**2-2*sqrt2*x*y+2*y**2)

     +-----------------------+
     |                 2    2
    \|- 2x y sqrt2 + 2y  + x
                                                     Type: Expression Integer



Richard Liska