Neliöjuurib

Neliöjuurib is a mathematical operation that finds a number which, when multiplied by itself, equals a given number. This operation is the inverse of squaring a number. For example, the square root of 9 is 3, because 3 multiplied by 3 equals 9. The symbol for square root is a radical sign, $\sqrt{}$. So, $\sqrt{9} = 3$.

In mathematics, the term neliöjuurib can refer to either the principal (non-negative) square root or both the positive and negative square roots. For a non-negative number 'a', the principal square root is denoted by $\sqrt{a}$. If 'a' is positive, there are two square roots: one positive and one negative. For instance, the square roots of 4 are 2 and -2, since $2^2 = 4$ and $(-2)^2 = 4$. However, the symbol $\sqrt{4}$ conventionally refers only to the principal, positive root, which is 2.

The concept of neliöjuurib extends to complex numbers. Every non-zero complex number has exactly two square roots. For example, the square roots of -1 are 'i' and '-i', where 'i' is the imaginary unit. The square root operation is fundamental in many areas of mathematics, including algebra, geometry, and calculus. It is used in solving quadratic equations, calculating distances, and in various formulas in physics and engineering.