Cube Root of Unity – Introduction, Properties, Methods & Examples

An Introduction to Cube Root of Unity

Cube Root of Unity – Introduction: A cube root of unity is a number that, when raised to the third power, equals 1. For example, the cube root of 8 is 2, because 2³ = 8. The cube root of 1 is also 1.

How to Find the Cube Roots of Unity?

The cube roots of unity are the three numbers that, when multiplied together, give the number 1. They are

• 1,
• -1, and
• i.

Properties of Cube Root of Unity

The cube root of unity is a real number that is equal to the cube root of 1. It is also equal to the square root of 3, which is a real number.

Cube Root of Unity Examples:

• Find the cube root of unity.
• the cube root of -1.
• Find the cube root of 5.
• The cube root of unity is 1.
• cube root of -1 is -1.
• The cube root of 5 is 2.

about Properties of Cube Root of Unity

There are a few properties of the cube root of unity that are worth noting.

• First, the cube root of unity is always a real number.
• Second, the cube root of unity is always positive.
• Third, the cube root of unity is always a rational number.
• Fourth, the cube root of unity is always a positive integer.