Square Root & Nth Root Calculator
Find the square root, cube root or any nth root of a number, with the simplified radical form.
Square root
8.48528137423857
- Simplified radical
- 6√2
Show the work
Pull out factors found n times
ⁿ√(a to the power of n × b) = a × ⁿ√b
√(6 to the power of 2 × 2) = 6 × √2
Raise to the power 1/n
ⁿ√x = x to the power of 1/n
72 to the power of 1/2 = 8.48528137423857
How it works
ⁿ√x = x^(1/n); radicals simplify by pulling out every prime factor that appears n times
Questions
- How does the square root & nth root calculator work?
- ⁿ√x = x^(1/n); radicals simplify by pulling out every prime factor that appears n times.
- What do I need to enter?
- Number, Root (n). Optional fields can be left blank.
Related tools
- Logarithm CalculatorFind the logarithm of a number in any base, plus the natural log, log base 10 and log base 2.
- Factors CalculatorList every factor (divisor) of a whole number and its factor pairs.
- Prime Number & Prime Factorization CalculatorCheck whether a number is prime and break it into its prime factors — exact for very large numbers.
- GCF CalculatorFind the greatest common factor (GCF, also called GCD or HCF) of two or more whole numbers.
- LCM CalculatorFind the least common multiple (LCM) of two or more whole numbers — exact, however large.
- Modulo CalculatorFind a mod n — the remainder after division — with both the math (always positive) and programming conventions.
Want this on your site? Embed the square root & nth root calculator.