Explore: Real Root

In mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function f {\displaystyle f} , is a member x {\displaystyle

negative nth root, while negative numbers do not have a real nth root. For odd values of n, every negative number x has a real negative nth root. For example

coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions)

expressed in closed form, root-finding algorithms provide approximations to zeros. For functions from the real numbers to real numbers or from the complex

algebra, real-root isolation of a polynomial consist of producing disjoint intervals of the real line, which contain each one (and only one) real root of the

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

over Q by one root of an integer polynomial P, all of the roots of P being real; or that the tensor product algebra of F with the real field, over Q,

sometimes involves extracting the square root of a negative number. In fact, this could happen even if the roots are real themselves. Later, the Italian mathematician

considered. Every real number x has exactly one real cube root that is denoted x 3 {\textstyle {\sqrt[{3}]{x}}} and called the real cube root of x or simply

4 / 3. The rest of the real numbers are called irrational numbers. Some irrational numbers (as well as all the rationals) are the root of a polynomial with