# Cubed Root Calculator

## What is a cubed root?

The cubed root of a number is the number that would have to be multiplied by itself and by itself again to get the original number.
For example, the cubed root of 27 is 3 as 3 multiplied by 3 multiplied by 3 is 27.
The cubed root of 8,120,601 is 201, as 201 multiplied by 201 multiplied by 201 is 8,120,601.
The cubed root of 8 is 2.8284271247461900976033774484194 as 2.8284271247461900976033774484194 multiplied by 2.8284271247461900976033774484194 is 8.

## How to calculate cubed root

Even for perfect cube numbers, cube root can be difficult to calculate by hand.
The most basic techniques involve trial and error.
Example:
Find the cube root of 512
1) Try a number – 5 : 5 times 5 times 5 = 125 (too low)
2) Try another number that is more than 5 – 6: 6 times 6 times 6 = 216 (too low)
3) Try a number that is more than 6 – 10 – 10 times 10 times 10 = 1,000 (too high)
4) Try a number in between 6 and 10 – 8 – 8 times 8 times 8 = 512 (answer)
A cubed root can also calculate as the same number to the exponent 1/3.
3√number = number1/3

## What is cubed root used for?

From a practical standpoint, in geometry cubed root can be used to find the length of a side of a cubed when the volume is known.