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  1. Square Roots | Brilliant Math & Science Wiki

    What is the square root of 25? 25? Ask yourself the question, “ “ What non-negative number, when squared, results in 25? " 25?" The answer to that question will be the square root of 25 25. 5 2 = 25 …

  2. Does a square root have two values? - Brilliant

    The square root of a negative number is a complex number. But, even with its domain extended, x \sqrt {x} x is similarly defined so that it is still a function.

  3. Using the Quadratic Formula | Brilliant Math & Science Wiki

    The quadratic formula, is of the form x = b ± b 2 4 a c 2 a x = 2a−b± b2−4ac. It is also known as Shreedhara Acharya's formula, named after the ancient Indian mathematician who derived it.

  4. Simplifying Radicals | Brilliant Math & Science Wiki

    Simplifying Simple Radicals The square root of a positive integer that is not a perfect square is always an irrational number. The decimal representation of such a number loses precision when it is …

  5. Approximation of Square Roots | Brilliant Math & Science Wiki

    Square root is common function in mathematics. It has a wide range of applications from the field of mathematics to physics. Sometimes it gets hard to calculate square root of a number, especially the …

  6. Newton Raphson Method | Brilliant Math & Science Wiki

    Newton Raphson Method The Newton-Raphson method (also known as Newton's method) is a way to quickly find a good approximation for the root of a real-valued function f (x) = 0 f (x) = 0. It uses the …

  7. Polynomial Roots | Brilliant Math & Science Wiki

    Finding the root of a linear polynomial (a polynomial with degree one) a x + b ax +b is very straightforward. The formula for the root is b a −ab (although calling this a formula is going a bit …

  8. Roots of Unity | Brilliant Math & Science Wiki

    Roots of Unity A root of unity is a complex number that, when raised to a positive integer power, results in 1 1. Roots of unity have connections to many areas of mathematics, including the geometry of …

  9. Perfect Squares, Cubes, and Powers - Brilliant

    The square of an even number is even and the square of an odd number is odd. All odd squares are of the form 4 n + 1 4n + 1 4n+1, hence all odd numbers of the form 4 n + 3 4n+3 4n+3, where n n n is a …

  10. Cube Roots | Brilliant Math & Science Wiki

    Unlike a square root, the result of a cube root can be any real number: positive, negative, or zero. Also different from a square root is the domain restriction on the radicand: the radicand of a cube root can …