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  2. Cube root - Wikipedia

    en.wikipedia.org/wiki/Cube_root

    If this definition is used, the cube root of a negative number is a negative number. The three cube roots of 1. If x and y are allowed to be complex, then there are three solutions (if x is non-zero) and so x has three cube roots. A real number has one real cube root and two further cube roots which form a complex conjugate pair.

  3. 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 .

  4. Casus irreducibilis - Wikipedia

    en.wikipedia.org/wiki/Casus_irreducibilis

    Casus irreducibilis occurs when none of the roots are rational and when all three roots are distinct and real; the case of three distinct real roots occurs if and only if ⁠ q 2 / 4 ⁠ + ⁠ p 3 / 27 ⁠ < 0, in which case Cardano's formula involves first taking the square root of a negative number, which is imaginary, and then taking the ...

  5. Imaginary unit - Wikipedia

    en.wikipedia.org/wiki/Imaginary_unit

    Square roots of negative numbers are called imaginary because in early-modern mathematics, only what are now called real numbers, obtainable by physical measurements or basic arithmetic, were considered to be numbers at all – even negative numbers were treated with skepticism – so the square root of a negative number was previously considered undefined or nonsensical.

  6. Cubic field - Wikipedia

    en.wikipedia.org/wiki/Cubic_field

    Adjoining the real cube root of 2 to the rational numbers gives the cubic field (). This is an example of a pure cubic field, and hence of a complex cubic field. In fact, of all pure cubic fields, it has the smallest discriminant (in absolute value), namely −108. [2]

  7. ‘No one should have to be fighting cancer and insurance at ...

    www.aol.com/no-one-fighting-cancer-insurance...

    Instead of being able to calmly focus on her chemotherapy treatment, Arete Tsoukalas had to spend hours on the phone arguing with her insurer while receiving infusions in the hospital.

  8. De Moivre's formula - Wikipedia

    en.wikipedia.org/wiki/De_Moivre's_formula

    A modest extension of the version of de Moivre's formula given in this article can be used to find the n-th roots of a complex number for a non-zero integer n. (This is equivalent to raising to a power of 1 / n). If z is a complex number, written in polar form as = (⁡ + ⁡),

  9. 30 Times People Encountered A Celebrity And It Was An ... - AOL

    www.aol.com/lifestyle/30-people-reveal-nicest...

    Image credits: missstephanie77 Modery met many superstars during her time in Hollywood. "I met a lot of celebrities. More than I can count. Not all of those experiences were good.