A root calculator computes the nth root of any number, the value that, when raised to the power n, gives the original number.
About this calculator
A root calculator computes the nth root of any number, the value that, when raised to the power n, gives the original number. The square root (n=2) and cube root (n=3) are the most common, but any root is computable.
Roots appear in geometry (diagonal of a square), physics (RMS calculations), finance (CAGR = nth root of growth multiple), and many engineering formulas.
Common uses
- Calculate the square root of any number
- Find cube roots for volume calculations
- Compute CAGR using the nth root formula
- Solve equations involving roots in algebra
Frequently asked questions
What is the relationship between roots and exponents?
The nth root of x equals x^(1/n). So the square root of 25 = 25^(0.5) = 5. The cube root of 27 = 27^(1/3) = 3. This means any root can be calculated as a fractional exponent.