nth Root & Cube Root Calculator

This calculator finds the nth root of any number, the value that, raised to the power n, gives your number back. It covers the cube root, the fourth root, the fifth root and beyond, as well as showing the square root and cube root alongside for quick reference. Roots are the inverse of powers: just as the square root undoes squaring, the cube root undoes cubing, and the nth root undoes raising to the nth power. They appear constantly in geometry, where the cube root recovers a side length from a volume, in finance, where roots are used to find average growth rates, in science and in everyday problem solving. Calculating anything beyond a square root by hand is awkward, which is where this tool helps. You enter the number and the root you want, n, and the calculator returns the nth root, along with the cube root and square root of the same number for convenience. The results update as you type, so you can explore how different roots of a number compare. Use it for maths homework, to recover a dimension from a volume or area, to work out a compound growth rate, or whenever you need a root quickly and accurately. A note on negatives: even roots, such as the square or fourth root, of a negative number are not real, so the calculator handles odd roots of negatives, like the cube root of minus 8 being minus 2, but flags even roots of negatives as undefined in the real numbers. The calculation is precise, rounded for display.

The nth root undoes raising to the power n. Even roots of negative numbers are not real and are flagged. Rounded for display.