Solvability By Radicals

+Solvability By Radicals explores if the roots of a [Polynomial](/wiki/polynomial) equation can be expressed using only arithmetic operations and *n*-th roots. [Galois Theory](/wiki/galois_theory) famously proved that, for general equations of degree five or higher, such solutions are impossible.

+## See also

+- [Field Theory](/wiki/field_theory)

+- [Group Theory](/wiki/group_theory)

+- [Quintic Equation](/wiki/quintic_equation)