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  2. Periodic continued fraction - Wikipedia

    en.wikipedia.org/wiki/Periodic_continued_fraction

    In fact, Galois showed more than this. He also proved that if ζ is a reduced quadratic surd and η is its conjugate, then the continued fractions for ζ and for (−1/η) are both purely periodic, and the repeating block in one of those continued fractions is the mirror image of the repeating block in the other. In symbols we have

  3. Surd - Wikipedia

    en.wikipedia.org/wiki/Surd

    Download as PDF; Printable version; In other projects Wikidata item; ... Surd may refer to: Mathematics. Surd (mathematics), an unresolved root or sum of roots;

  4. Quadratic irrational number - Wikipedia

    en.wikipedia.org/wiki/Quadratic_irrational_number

    In mathematics, a quadratic irrational number (also known as a quadratic irrational or quadratic surd) is an irrational number that is the solution to some quadratic equation with rational coefficients which is irreducible over the rational numbers. [1]

  5. Solving quadratic equations with continued fractions - Wikipedia

    en.wikipedia.org/wiki/Solving_quadratic...

    In mathematics, a quadratic equation is a polynomial equation of the second degree.The general form is + + =, where a ≠ 0.. The quadratic equation on a number can be solved using the well-known quadratic formula, which can be derived by completing the square.

  6. images.huffingtonpost.com

    images.huffingtonpost.com/2012-11-21-TDmanugeVAC...

    PDF-1.6 %âãÏÓ 7 0 obj > endobj 13 0 obj >/Filter/FlateDecode/ID[5C12CAFB26C79B4FB709253DA9CF25ED>]/Index[7 8]/Info 6 0 R/Length 40/Prev 190651 ...

  7. Rationalisation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Rationalisation_(mathematics)

    In elementary algebra, root rationalisation (or rationalization) is a process by which radicals in the denominator of an algebraic fraction are eliminated.. If the denominator is a monomial in some radical, say , with k < n, rationalisation consists of multiplying the numerator and the denominator by , and replacing by x (this is allowed, as, by definition, a n th root of x is a number that ...