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  2. Square (algebra) - Wikipedia

    en.wikipedia.org/wiki/Square_(algebra)

    Square (algebra) 5⋅5, or 52 (5 squared), can be shown graphically using a square. Each block represents one unit, 1⋅1, and the entire square represents 5⋅5, or the area of the square. In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation.

  3. Square root of 2 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_2

    Geometrically, the square root of 2 is the length of a diagonal across a square with sides of one unit of length; this follows from the Pythagorean theorem. It was probably the first number known to be irrational. [1] The fraction ⁠ 99 / 70 ⁠ (≈ 1.4142857) is sometimes used as a good rational approximation with a reasonably small denominator.

  4. Rational number - Wikipedia

    en.wikipedia.org/wiki/Rational_number

    In mathematics, a rational number is a number that can be expressed as the quotient or fraction ⁠ ⁠ of two integers, a numerator p and a non-zero denominator q. [1] For example, ⁠ ⁠ is a rational number, as is every integer (e.g., ). The set of all rational numbers, also referred to as " the rationals ", [2] the field of rationals[3] or ...

  5. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    For example, the repeating continued fraction [1;1,1,1,...] is the golden ratio, and the repeating continued fraction [1;2,2,2,...] is the square root of 2. In contrast, the decimal representations of quadratic irrationals are apparently random. The square roots of all (positive) integers that are not perfect squares are quadratic irrationals ...

  6. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    Square root of 2, Pythagoras constant ... where s k is the kth term of Sylvester's sequence 2, 3, 7, ... Continued fractions with more than 20 known terms have been ...

  7. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    Quadratic formula. The roots of the quadratic function y = ⁠ 1 2 ⁠x2 − 3x + ⁠ 5 2 ⁠ are the places where the graph intersects the x -axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.

  8. nth root - Wikipedia

    en.wikipedia.org/wiki/Nth_root

    n. th root. In mathematics, an nth root of a number x is a number r (the root) which, when raised to the power of the positive integer n, yields x: The integer n is called the index or degree, and the number x of which the root is taken is the radicand. A root of degree 2 is called a square root and a root of degree 3, a cube root.

  9. One half - Wikipedia

    en.wikipedia.org/wiki/One_half

    One half is the irreducible fraction resulting ... A square of side ... is almost an integer, approximately 7.0000000857. [2] [3] One half figures in the ...

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