Négyzetszámú

Négyzetszámú is a term used in mathematics to refer to a perfect square. A perfect square is an integer that can be expressed as the product of two equal integers. In other words, it is the square of another integer. For example, 9 is a négyzetszámú because it can be written as 3 * 3, or 3². Other examples include 1 (1²), 4 (2²), 16 (4²), and 25 (5²).

The sequence of négyzetszámú numbers begins with 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, and so on. These numbers are formed by squaring consecutive non-negative integers: 0², 1², 2², 3², 4², etc.

Mathematically, an integer 'n' is a négyzetszámú if there exists an integer 'k' such that n = k². This can also be stated as the square root of 'n' being an integer. The concept of négyzetszámú numbers is fundamental in number theory and appears in various mathematical contexts, including algebra, geometry, and combinatorics. They are often encountered when dealing with quadratic equations, areas of squares, and certain patterns in number sequences.