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  2. Methods of computing square roots - Wikipedia

    en.wikipedia.org/wiki/Methods_of_computing...

    A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...

  3. Nested radical - Wikipedia

    en.wikipedia.org/wiki/Nested_radical

    In the case of two nested square roots, the following theorem completely solves the problem of denesting. [2]If a and c are rational numbers and c is not the square of a rational number, there are two rational numbers x and y such that + = if and only if is the square of a rational number d.

  4. Symbolab - Wikipedia

    en.wikipedia.org/wiki/Symbolab

    Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011.

  5. Square root - Wikipedia

    en.wikipedia.org/wiki/Square_root

    Square roots of negative numbers can be discussed within the framework of complex numbers. More generally, square roots can be considered in any context in which a notion of the "square" of a mathematical object is defined. These include function spaces and square matrices, among other mathematical structures.

  6. Talk:Nth root/Archive 1 - Wikipedia

    en.wikipedia.org/wiki/Talk:Nth_root/Archive_1

    3 Simplifying Radicals. 1 comment. 4 Finding all roots. 2 comments. 5 Merge. 1 comment. 6 Fifth root extraction. 1 comment ...

  7. Square root of 2 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_2

    The most common algorithm for this, which is used as a basis in many computers and calculators, is the Babylonian method [9] for computing square roots, an example of Newton's method for computing roots of arbitrary functions. It goes as follows:

  8. Newton's method - Wikipedia

    en.wikipedia.org/wiki/Newton's_method

    An illustration of Newton's method. In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function.

  9. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    Even though the structure of the factorization is known in these cases, the a i s generally cannot be computed in terms of radicals (n th roots), by the Abel–Ruffini theorem. In most cases, the best that can be done is computing approximate values of the roots with a root-finding algorithm.

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