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  2. Conjugate (square roots) - Wikipedia

    en.wikipedia.org/wiki/Conjugate_(square_roots)

    As (+) = and (+) + =, the sum and the product of conjugate expressions do not involve the square root anymore. This property is used for removing a square root from a denominator, by multiplying the numerator and the denominator of a fraction by the conjugate of the denominator (see Rationalisation).

  3. List of Shuowen Jiezi radicals - Wikipedia

    en.wikipedia.org/wiki/List_of_Shuowen_Jiezi_radicals

    List of Kangxi radicals - a system of 214 components used by the Kangxi dictionary (1716), made under the leadership of the Kangxi Emperor; List of Unicode radicals - CJK radicals included in the Unicode Standard. List of Xinhua Zidian radicals; Chinese characters description languages - computer and SVG based description of CJK ...

  4. 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.

  5. Complex conjugate - Wikipedia

    en.wikipedia.org/wiki/Complex_conjugate

    In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. That is, if a {\displaystyle a} and b {\displaystyle b} are real numbers, then the complex conjugate of a + b i {\displaystyle a+bi} is a − b i . {\displaystyle a-bi.}

  6. Complex conjugate root theorem - Wikipedia

    en.wikipedia.org/wiki/Complex_conjugate_root_theorem

    In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b being real numbers, then its complex conjugate a − bi is also a root of P. [1]

  7. nth root - Wikipedia

    en.wikipedia.org/wiki/Nth_root

    A negative real number −x has no real-valued square roots, but when x is treated as a complex number it has two imaginary square roots, ⁠ + ⁠ and ⁠ ⁠, where i is the imaginary unit. In general, any non-zero complex number has n distinct complex-valued n th roots, equally distributed around a complex circle of constant absolute value .