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  2. Square root - Wikipedia

    en.wikipedia.org/wiki/Square_root

    Square root. Notation for the (principal) square root of x. For example, √ 25 = 5, since 25 = 5 ⋅ 5, or 52 (5 squared). In mathematics, a square root of a number x is a number y such that ; in other words, a number y whose square (the result of multiplying the number by itself, or ) is x. [1] For example, 4 and −4 are square roots of 16 ...

  3. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    Square root of 2, Pythagoras constant. [4] 1.41421 35623 73095 04880 ... Continued fractions with more than 20 known terms have been truncated, ...

  4. Mathematical constant - Wikipedia

    en.wikipedia.org/wiki/Mathematical_constant

    The square root of 2 is equal to the length of the hypotenuse of a right-angled triangle with legs of length 1. The square root of 2 , often known as root 2 or Pythagoras' constant , and written as √ 2 , is the unique positive real number that, when multiplied by itself, gives the number 2 .

  5. 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.

  6. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    4. In probability theory, denotes a conditional probability. For example, (/) denotes the probability of A, given that B occurs. Usually denoted (): see "| ". √ (square-root symbol) Denotes square root and is read as the square root of. Rarely used in modern mathematics without a horizontal bar delimiting the width of its argument (see the ...

  7. Continued fraction (non-simple) - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction...

    Lagrange's discovery implies that the canonical continued fraction expansion of the square root of every non-square integer is periodic and that, if the period is of length p > 1, it contains a palindromic string of length p − 1. In 1813 Gauss derived from complex-valued hypergeometric functions what is now called Gauss's continued fractions ...

  8. Irrational number - Wikipedia

    en.wikipedia.org/wiki/Irrational_number

    Irrational number. The number √ 2 is irrational. In mathematics, the irrational numbers (in- + rational) are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers. When the ratio of lengths of two line segments is an irrational number, the line segments are also ...

  9. Algebraic number - Wikipedia

    en.wikipedia.org/wiki/Algebraic_number

    The square root of 2 is an algebraic number equal to the length of the hypotenuse of a right triangle with legs of length 1. An algebraic number is a number that is a root of a non-zero polynomial (of finite degree) in one variable with integer (or, equivalently, rational ) coefficients.