> For the complete documentation index, see [llms.txt](https://docs.incari.com/incari-studio/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.incari.com/incari-studio/master/math/root.md).

# Root

## Overview

![](/files/-MIxaV4Xr1wemvmALg3F)

**Root** calculates the *nth root* of a number. The *nth root* (`Output`) of a number is the *base* value, which when raised to the power of *n* (`Degree`) would return the *radicand* (`Input`).

The most common example of **Root** operations, is finding the square (2nd) root, or cubic (3rd) root of a number, however this can also be used for higher numbers.

|`Input`|`Degree`|`Output`| |---|---|---|---| |9|2|3| |13824|3|24| |160000|4|20| |1024|10|2|

## Exponentiation-Related Nodes

The **Power**, **nth Root**, and **Logarithm** **Nodes** each relate to *exponentiation*. They all take two *known* parameters and return the 3rd *unknown* **Value**.

![](/files/-MIxaU4waqfwwJMxTJbA)

## Attributes

*The **Root Node** has no **Attributes***.

## Inputs

| Input             | Type      | Description                                                           |
| ----------------- | --------- | --------------------------------------------------------------------- |
| *Pulse Input* (►) | **Pulse** | A standard **Input Pulse**, to trigger the execution of the **Node**. |
| `Input`           | **Float** | The **Value** which you want to find the *nth root* of.               |
| `Root`            | **Float** | The degree of the exponentiation (the "*n*" in "*nth root*").         |

## Outputs

| Output             | Type      | Description                                                                                                                            |
| ------------------ | --------- | -------------------------------------------------------------------------------------------------------------------------------------- |
| *Pulse Output* (►) | **Pulse** | A standard **Output Pulse**, to move onto the next **Node** along the **Logic Branch**, once this **Node** has finished its execution. |
| `Output`           | **Float** | The *base* number which, when multiplied against itself the number of times defined in `Root`, would return the **Value** of `Input`.  |

## External Links

* [*Root*](https://www.mathopenref.com/root.html) on Math Open Reference.
* [*nth root*](https://en.wikipedia.org/wiki/Nth_root) on Wikipedia.