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  1. Approximating square roots using binomial expansion.

    In fact you can take any two numbers which can be added to get 2 (not nesserly 0.01 but at least you should know the root of one of them So for example 2–√ =(1 + 1)1/2 2 = (1 + 1) 1 / 2

  2. Find the square root of a matrix - Mathematics Stack Exchange

    The matrix is symmetric, so it is certainly diagonalizable. Trace and determinant are both positive, so both eigenvalues are positive. So if you can diagonalize, the diagonal form will have a square root, …

  3. What is $\sqrt {i}$? - Mathematics Stack Exchange

    May 12, 2015 · The square root of i is (1 + i)/sqrt (2). [Try it out my multiplying it by itself.] It has no special notation beyond other complex numbers; in my discipline, at least, it comes up about half as …

  4. What is a fast algorithm for finding the integer square root?

    Apart from the integer version of Newton's algorithm, a binary search is also faster than the naive method (except for very small N N, but then all methods that aren't insane are fast).

  5. Help to understand algorithm for finding square root?

    Jun 16, 2020 · Find the greatest square less than or equal to that group of digits and its square root will be your first approximation of the entire square root. Step 3: Subtract the current approximation …

  6. radicals - How do I get the square root of a complex number ...

    82 The square root is not a well defined function on complex numbers. Because of the fundamental theorem of algebra, you will always have two different square roots for a given number.

  7. How to find the square root of an imperfect square number, using ...

    Sep 13, 2014 · 4 Start finding the number n n the square of which is the closest to your number. In this case, it should be 396 396 but admit that I am lazy and that I found an estimate of 400 400. So now, …

  8. Find the square root of a 3x3 matrix - Mathematics Stack Exchange

    Nov 27, 2022 · I found myself in the same situation, had to find a real symmetric square root B of a real 3x3 symmetric positive definite matrix A, and that, on a small board with basically no memory, …

  9. Can exact square roots not be found? - Mathematics Stack Exchange

    Dec 20, 2018 · You can find the square root to a given precision if the number is small enough, or of certain very specific types. Not all numbers can be stored in a physical medium, let alone be …

  10. Square root inside a square root - Mathematics Stack Exchange

    Jun 24, 2014 · Square root inside a square root Ask Question Asked 11 years, 7 months ago Modified 5 years ago