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# Radical (Nth Root) Calculator

Put the number, write the root, and click calculate to find the root value using radical calculator

Table of Contents:

## Radical Calculator

Radical calculator is used to simplify radical expressions. A r**adical expression** is any mathematical expression containing a square root, cube root, ... up to the nth root.

## What is Radical (Nth Root)?

In mathematics, the radical, specifically the **nth **root, refers to the operation that calculates the value that, when raised to the power of **n**, gives a given number. The symbol used to represent the radical is √, known as the radical sign /the square root symbol.

The term "**radical**" is often used to refer to the square root (**√**), but it can also represent other roots, such as cube roots (**∛**), fourth roots (**∜**), and so on. The number "**n**" in the nth root indicates the degree of the root. For example, when **n = 2**, it represents the square root; when **n = 3**, it represents the cube root, and so on.

To calculate the nth root of a number, you raise that number to the power of 1/n. For instance, if you want to find the cube root of 8, you would solve it as follows:

`∛8 = 8`

^{1/3} = 2

In this case, raising **8 **to the power of **1/3** gives you the value of **2**, which is the cube root of **8**.

## How to find the root value?

**Example 1:**

Determine the **fourth **root of the number **625**.

**Solution**

It can be expressed in mathematical form

^{4}√625

= (5 × 5 × 5 × 5)^{1/4}

= (5^{4})^{1/4}

**= 5**

**Example 2:**

Determine the **Sixth **root of the number **64**

**Solution**

In mathematical form, it can be expressed as:

^{6}√64

= (64)^{1/6}

= (2 × 2 × 2 × 2 × 2 × 2)^{1/6}

= (2^{6})^{1/6}

**= 2**

**Example 3:**

Find the **4 ^{th} **root of the number

**196**

**Solution**

In mathematical form, it can be expressed as:

^{4}√196

= (196)^{1/4}

= (4 × 4 × 4 × 4)^{1/4}

= (4^{4})^{1/4}

**= 4**