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  2. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    This is a method for removing surds from expressions (or at least moving them), applying to division by some combinations involving square roots. For example: The denominator of 5 3 + 4 {\displaystyle {\dfrac {5}{{\sqrt {3}}+4}}} can be rationalised as follows:

  3. 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]

  4. Radical symbol - Wikipedia

    en.wikipedia.org/wiki/Radical_symbol

    In mathematics, the radical symbol, radical sign, root symbol, or surd is a symbol for the square root or higher-order root of a number. The square root of a number x is written as x , {\displaystyle {\sqrt {x}},}

  5. 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;

  6. 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.

  7. Additional Mathematics - Wikipedia

    en.wikipedia.org/wiki/Additional_Mathematics

    In Singapore, Additional Mathematics is an elective subject offered to pupils in secondary school—specifically those who have an aptitude in Mathematics and are in the Normal (Academic) stream [1] or Express stream.

  8. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    Trigonometric functions and their reciprocals on the unit circle. All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same.

  9. Square root of 7 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_7

    This number appears in various geometric and number-theoretic contexts. It can be denoted in surd form as: [1], and in exponent form as: . It is an irrational algebraic number. The first sixty significant digits of its decimal expansion are: