täisruut

Täisruut is an Estonian term that translates to "full square" or "perfect square" in English. It refers to a number that can be obtained by squaring an integer. In other words, a number 'n' is a täisruut if there exists an integer 'x' such that x * x = n. For example, 9 is a täisruut because 3 * 3 = 9. Similarly, 16 is a täisruut as 4 * 4 = 16.

The first few positive täisruudud are 0 (0*0), 1 (1*1), 4 (2*2), 9 (3*3), 16 (4*4), 25 (5*5), and so on. Negative numbers cannot be täisruudud because the square of any real number, whether positive or negative, is always non-negative. The concept of täisruut is fundamental in number theory and various areas of mathematics. It is often encountered in algebraic expressions, geometric problems involving areas, and in number puzzles. Identifying whether a given number is a täisruut usually involves checking if its square root is an integer.

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