Root Calculator
Calculate nth roots, simplify radicals, and find complex roots with step-by-step solutions
Root Calculation
2 = square root, 3 = cube root, etc.
Expression
3√64
Cube root of 64
Common Examples
Results
Enter a number and root index, then click Calculate to see results
Root Properties and Rules
Basic Properties
• nth root of a = a^(1/n)
• nth root of (ab) = nth root of a * nth root of b
• nth root of (a/b) = nth root of a / nth root of b
• (nth root of a)^n = a
Special Cases
• Even roots of negative numbers are complex
• Odd roots of negative numbers are negative
• nth root of 1 = 1 for any n
• nth root of 0 = 0 for any n > 0
Applications
• Solving polynomial equations
• Geometric calculations
• Physics and engineering
• Financial mathematics
Tips
- Enter the dimensions in the same unit for consistency.
- Results update automatically as you type.
- Use the unit selector to convert between different measurement systems.