Math

Nth roots.

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

Real-world.

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

ⁿ√x = x^(1/n)

Studied in

1 unit use this concept.