Root Calculator
Calculate square roots, cube roots, and general nth roots with step-by-step verification and mathematical properties.
Calculate square roots, cube roots, and general nth roots with step-by-step verification.
Square Root Calculator
Result
√4 = 2.000000
2² = 4
√=2.000000
Cube Root Calculator
³√=?
General Root Calculator
√=?
About Root Calculations
Root calculations find the number that, when raised to a specific power, equals the given number. The square root finds a number that, when squared, equals the input. The cube root finds a number that, when cubed, equals the input. General roots work for any positive integer power.
Key Properties:
- • √x = x^(1/2)
- • ³√x = x^(1/3)
- • n√x = x^(1/n)
- • √(a × b) = √a × √b
- • √(a/b) = √a / √b
- • (√a)² = a
Common Applications:
- • Geometry and area calculations
- • Physics and engineering
- • Financial calculations
- • Statistics and data analysis
- • Computer graphics
- • Scientific research
Important Notes:
- • Square root of negative numbers is not a real number
- • Even roots of negative numbers are not real numbers
- • Odd roots of negative numbers are real numbers
- • Root of zero is always zero