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About the Root Calculator
This Root Calculator computes square roots, cube roots, and nth roots of numbers with precision. Enter a radicand and a root index, and the calculator returns the decimal value of the root to many places.
The calculation follows the standard definition of an nth root: a value y that satisfies y^n = x. Newton's iterative method refines an initial guess with y_new = ((n − 1) × y + x / y^(n − 1)) / n until the result converges. The inputs are the radicand, which is the number under the root, and the index n. To verify an answer, raise it to the nth power and confirm you get the original number back.
- Enter the number under the root sign in the radicand field.
- Set the root index, using 2 for square roots or 3 for cube roots.
- Press Calculate and read the precise result.