Root Calculator

Last updated: 2026-08-24

Root Calculator — Calculate square and nth roots.
Inputs
Result
Enter values and press Calculate

How to use it

  1. {'step': 1, 'description': 'Identify number (125) and index (3 for cube root)'}
  2. {'step': 2, 'description': 'Calculate reciprocal of index: 1 ÷ 3 = 0.3333'}
  3. {'step': 3, 'description': 'Raise to power: 125^(1/3) = 5'}
  4. {'step': 4, 'description': 'Verify: 5³ = 5 × 5 × 5 = 125 ✓'}

Common mistakes

  • ⚠️ Trying to find even roots (square, 4th) of negative numbers in current domain
  • ⚠️ Confusing root index with the result value
  • ⚠️ Not recognizing that square root is index 2 (default)

Worked example

Calculate sqrt(144) and cube root of 27.

The result ({result}) is the number that, when raised to the power of index, equals the original number.

Input guide

FieldTypical range
numeroMust be non-negative for even indices; typical: 1-10,000
indiceSquare root: 2; Cube root: 3; Common: 2-10