​​​​​​​​​​Find each root. See Example 3.​​ -∛512

Key Concepts

Cube Root

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is denoted as ∛x, where x is the number. For example, the cube root of 512 is the number that satisfies the equation x³ = 512.

Radical Notation

Radical notation is a way to express roots of numbers using the radical symbol (√). For cube roots, the notation is ∛, indicating the root is taken to the third degree. Understanding this notation is essential for solving problems involving roots.

Prime Factorization

Prime factorization involves breaking down a number into its prime factors, which can simplify the process of finding roots. For instance, 512 can be expressed as 2^9, making it easier to determine its cube root by dividing the exponent by 3.