Nth Root
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High Quality Content by WIKIPEDIA articles! Roots are particularly important in the theory of infinite series, where the root test determines the radius of convergence of a power series. Roots can also be defined for complex numbers, and the complex roots of 1 (the roots of unity) play an important role in higher mathematics. Much of Galois theory is concerned with determining which algebraic numbers can be expressed using roots, leading to the famous Abel-Ruffini theorem that a general polynomial of degree five or higher cannot be solved using roots alone. But many, including Leonhard Euler, ...
High Quality Content by WIKIPEDIA articles! Roots are particularly important in the theory of infinite series, where the root test determines the radius of convergence of a power series. Roots can also be defined for complex numbers, and the complex roots of 1 (the roots of unity) play an important role in higher mathematics. Much of Galois theory is concerned with determining which algebraic numbers can be expressed using roots, leading to the famous Abel-Ruffini theorem that a general polynomial of degree five or higher cannot be solved using roots alone. But many, including Leonhard Euler, believe it originates from the letter r, the first letter of the Latin word radix which refers to the same mathematical operation. The symbol was first seen in print without the vinculum (the horizontal bar over the numbers inside the radical symbol) in the year 1525 in Die Coss by Christoff Rudolff, a German mathematician.
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