Definition

1. Noun:
   • A number that produces a specified number when cubed: The cube root of a given number is the value that, when multiplied by itself three times (cubed), equals the given number.

Usage

• The term "cube root" is used in mathematics to denote the inverse operation of cubing a number. It is typically written using the radical symbol with a small three: ∛. For example, the cube root of 8 is 2, because 2 × 2 × 2 = 8.

Examples

• Noun:
  • The cube root of 27 is 3.
  • To solve the equation, you need to find the cube root of 64.
  • Calculating the cube root is essential for understanding three-dimensional volume.

Advanced Usage

• "To take the cube root of": This phrase describes the action of calculating the cube root.
  • The next step in the formula is to take the cube root of the result.
• Principal Cube Root: For positive real numbers, the cube root is also a positive real number. However, every real number has exactly one real cube root.
  • While -3 is also a cube root of -27, in many contexts we refer to the principal (real) cube root.

Variants and Related Words

• Cube (verb): To raise a number to the third power (multiply it by itself twice).
  • If you cube 4, you get 64.
• Root (noun): In mathematics, a quantity that, when raised to a specified power, equals a given number (e.g., square root, fourth root).
• Radical (noun): The symbol (√) used to denote a root.

Synonyms

• Third root: A less common but mathematically equivalent term.

Related Phrases

• Cube root function: The mathematical function f(x) = ∛x.
  • The graph of the cube root function passes through the origin.

Noun

1. a number that when multiplied three times equals a given number