Root Calculator

Calculate nth roots, simplify radicals, and find complex roots with step-by-step solutions

Root Calculation

Calculation Mode

Radicand (number under the root)

Root Index (n in nth root)

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.

Root Calculator

Root Calculation

Expression

Common Examples

Results

Root Properties and Rules

Basic Properties

Special Cases

Applications

Tips

Volume Calculators

Finance Calculators

Root Calculator

Root Calculation

Expression

Common Examples

Results

Root Properties and Rules

Basic Properties

Special Cases

Applications

Tips