Nth Root Symbol
The nth root of any number is represented using the symbol, n√x, here, we find the nth root of x.
In the expression n√x, x is called the radicand of the term and n is the index of the term. We can also represent this as the exponent of x in fraction, i.e.
n√x = (x)1/n
Nth Root
Nth root of unity is the root of unity when taken which on taking to the power n gives the value 1. Nth root of any number is defined as the number that takes to the power of n results in the original number. For example, if we take the nth root of any number, say b, the result is a, and then a is raised to n power and will get b.
We define the nth root of any number as suppose we take nth power of any number ‘a’
an = b
then, the nth root of ‘b’ is ‘a’ we represent this as,
n√b = a
We can also check for the nth root of unity as,
zn = 1
then, the nth root of ‘1‘ is ‘z‘ we represent this as,
n√1 = z
In this article, we will learn about, the nth root of any number, the nth root of unity, and others in detail.