Nth roots

Math

Definition

The nth root of a number x is a value that, when raised to the nth power, equals x. Written as ⁿ√x or x^(1/n). Square roots and cube roots are the most common examples.

Examples

  • The cube root of 27 is 3 because 3³ = 27
  • The 4th root of 16 is 2 because 2⁴ = 16
  • Finding the side length of a cube given its volume
Key Fact

ⁿ√x = x^(1/n)

Related Terms

Rational exponents Simplifying radicals Operations with radicals

Study This Concept

Practice nth roots with free review games in these units:

Algebra 2 Unit 6: Radical Functions