"n"th Root
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High Quality Content by WIKIPEDIA articles! The number n is called the degree of the root. A root of degree 2 is called a square root, a root of degree 3 is called a cube root, a root of degree 4 is called a fourth root, and so forth. In general, a root of degree n is called an nth root. An unresolved root, especially one using the radical symbol, is often referred to as a surd. 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 (...
High Quality Content by WIKIPEDIA articles! The number n is called the degree of the root. A root of degree 2 is called a square root, a root of degree 3 is called a cube root, a root of degree 4 is called a fourth root, and so forth. In general, a root of degree n is called an nth root. An unresolved root, especially one using the radical symbol, is often referred to as a surd. 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.
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