​​​​​​​​​​Find each root. See Example 3.​​ ∛0.125

Key Concepts

Cube Roots

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 0.125 is the number that satisfies the equation x³ = 0.125. This concept is essential for solving problems involving cubic equations and understanding the relationship between exponents and roots.

Radical Notation

Radical notation is a mathematical notation used to represent roots of numbers. The cube root is denoted by the radical symbol with a small '3' placed outside, such as ∛x. Understanding this notation is crucial for interpreting and solving problems that involve roots, as it provides a clear way to express the operation being performed.

Decimal Representation

Decimal representation refers to expressing numbers in the base-10 system, which is commonly used in mathematics. In the context of cube roots, converting fractions like 0.125 into their decimal form helps in visualizing and calculating roots. Recognizing how to manipulate and interpret decimal numbers is vital for accurate computations in trigonometry and algebra.