gyökérték

Gyökérték is a Hungarian term that translates to "root value" or "radical value." It is most commonly used in the context of mathematics, particularly in relation to roots of numbers. When referring to the square root of a number, for example, the gyökérték is the positive number which, when multiplied by itself, yields the original number. For instance, the gyökérték of 9 is 3, because 3 multiplied by 3 equals 9.

In a broader mathematical sense, gyökérték can refer to the principal root of any number. The principal root is conventionally the non-negative root when dealing with even-powered roots (like square roots or fourth roots) of non-negative numbers. For odd-powered roots, such as cube roots, the principal root is simply the real root.

The concept of gyökérték is fundamental to understanding algebraic equations and functions. Solving for variables often involves taking roots, and specifying the gyökérték ensures a unique and consistent answer in many mathematical contexts. While the term is primarily mathematical, it can occasionally be used metaphorically in other Hungarian contexts to signify a fundamental or essential value, similar to "core value" or "basic principle." However, its predominant and precise meaning remains within the realm of mathematics.