# Nth Root Calculator Online

### Nth Root Calculator Description

The formula for calculating Fraction To Percentages is

The formula for calculating Cube Root is:

**Nth root of x:**

Nth root = n√x

x = 27

n = 3

Nth root = 3√27

Nth root = 3

### Nth Root Calculator Explanation

#### Explanation:

The nth root of an integer x in mathematics is a number y that, when raised to the power n, yields
x:

y^{n}=x

Here, n is a positive integer also referred to as the root's degree. The term "square root" refers
to a root of degree 2, whereas "cube root" refers to a root of degree 3. Higher degree roots can
also be identified by using regular numerals, such as fourth, fifth, twentieth, etc. A root
extraction is the process used to determine the nth root.

For example, The square root of 9 is 3, as 3^{2} = 9, and −3 is also a square root of 9, as
(−3)^{2} = 9.

- √y x √y = y => In this case, the square root is multiplied twice to obtain the initial value.
- ∛y x ∛y = y => In this case, the cube root is multiplied thrice to obtain the initial value.
- n√y x n√y ... n√y = y => In this case, the nth root is multiplied nth to obtain the initial value.

#### Definition of a nth root:

In mathematics, For any real number x and y, if x^{n} = y then x is the nth root of y or n√y
= x. The symbol use to define nth root is n√y.

#### Manual Calculations

- Suppose we have a number 27.
- Now we have nth root 3 which is also called the cube root.
- The nth root (3) of number 27 is n√27, where n=3 which means ∛27 = 3
- So the nth root (3) of number 27 is 3

#### How to calculate nth roots with a calculator?

- You need to enter nth root in the first input field "Root".
- You need to enter number in the second input field "Number".
- Then press the button submit. The results "nth root of a number" will automatically appear below in result block.

#### More Calculation (nth root of a number) Examples

- Given Number = 625
- nth Root = 4
- nth root of a number 625 is => n√y => 4√625 = 5
- Given Number = 729
- nth Root = 3
- nth root of a number 729 is => n√y => 3√729 = 9
- Given Number = 8192
- nth Root = 13
- nth root of a number 8192 is => n√y => 13√8192 = 2
- 4th root of 64 = 2.8284271247462
- 5th root of 64 = 2.2973967099941
- 6th root of 64 = 2
- 7th root of 64 = 1.8114473285278
- 8th root of 64 = 1.6817928305074

### Keywords

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### Calculator1.net Author

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