Nth Root Calculator
This calculator finds the nth root of any positive real number. It’s useful in algebra, geometry, and applied sciences for simplifying expressions, solving equations, and analyzing exponential growth and decay.
Nth Root Solver
Nth Root Formula
$$\sqrt[n]{x} = x^{\frac{1}{n}}
$$
Where:
- $$x$$ is the number
- $$n$$ is the degree of the root
- $$\sqrt[n]{x}$$ is the $$nth$$ root of $$x$$, or the number that when raised to the $$nth$$ power equals $$x$$
Nth Root – Calculation Example
Find the 4th root of 81:
$$\sqrt[4]{81} = 81^{\frac{1}{4}} = 3$$
Because:
$$3^4 = 81$$
The $$nth$$ root operation generalizes square and cube roots to any integer degree. It is used in mathematics, physics, and computer science. This calculator makes it easy to find exact or decimal approximations of any root.