What is the root of 0 1

Root of zero

The root function was presented in detail in another chapter. The root function is the inverse of a power function. In general we write for a root function: f (x) = x1 / n or f (x) = n√ x. As a rule, in the context of school mathematics, we deal with the square root, i.e. root functions that are the inverse of the quadratic equation. But now we ask ourselves the question of the solution “the root of 0”:

What is the square root of 0?

In other natural science subjects this question is mostly unimportant, in mathematics this question is part of the subject matter. Is the root of 0 defined and what is the result of the root of 0.

To do this, we consider the domain of definition of a root function. The domain of a root function is: D = ℝ0+, i.e. the domain is in the interval [0; + ∞ [. In general, the condition is that the radical (value below the root) must always be a positive number. It is therefore also possible to take the root of 0, since the number 0 is counted among the positive numbers. It is therefore mathematically permissible to take the root of the number “zero”.

Solution "root of zero"

How do you get the solution “root of zero”. According to the mathematical definition, the root is defined as the non-negative solution of the equation x² = 0. Therefore, one can also find the solution to this equation, the solution is x = 0. Therefore, the square root of 0 is equal to 0.

In general, for any root of 0: √0 = 0