Square Root Calculator

The Square Root Calculator instantly finds the square root (√), cube root (∛), and any nth root of a number. Square roots are one of the most searched math calculations globally — from students solving homework problems to engineers and programmers using them in algorithms.

What is a Square Root?

The square root of a number n is the value that, when multiplied by itself, gives n. For example, √9 = 3 because 3 × 3 = 9. Every positive number has two square roots: a positive and a negative. This calculator returns the principal (positive) square root.

Real-World Applications

- Geometry: Finding the side of a square from its area (side = √area)

- Physics: Distance formula, velocity calculations

- Finance: Standard deviation, volatility calculations

- Computer science: Searching algorithms, graphics

- Architecture: Calculating diagonal measurements

Perfect Squares

Perfect squares are numbers whose square roots are integers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100... Numbers like 2, 3, 5, 7 are not perfect squares — their square roots are irrational numbers (non-terminating, non-repeating decimals).

1. Enter Number: Type the number you want to find the root of.

2. Enter N (for Nth Root): Type 2 for square root, 3 for cube root, or any other value for the nth root.

3. View Results: All three roots are calculated simultaneously — square root, cube root, and your nth root.