Nth Root Calculator
Calculate any root of a number — square, cube, or any nth root.
Roots of any degree
Beyond square and cube roots, you can take any root of a number — the fourth root, fifth root, or any nth root — the value that raised to that power gives the number. This calculates a root of any degree.
Enter a number and the root degree to calculate it.
Roots as fractional powers
The unifying idea that makes all roots one concept is that a root is just a fractional power: the nth root of a number is that number raised to the power of one over n. So a square root is the power of one-half, a cube root the power of one-third, and so on. This is not just notation — it means roots obey all the same rules as powers, which is why they combine and simplify the way they do. It also explains fractional exponents in general: a number to the power of two-thirds is the cube root of its square. Seeing roots and powers as the same operation, viewed from two directions, is one of those unifying insights that makes a whole area of algebra suddenly coherent rather than a set of separate rules.
Common questions
How is an nth root related to powers?
A root is a fractional power — the nth root of a number is that number raised to the power of one over n, so a cube root is the power of one-third.
Why does that matter?
Because it means roots follow all the same rules as powers, which is why they combine and simplify the way they do, unifying roots and exponents.
Is anything uploaded?
No. The calculation happens in your browser.