Square Root Calculator
Calculate the square root of any number and check if it is a perfect square.
The Square Root Calculator computes the square root of any non-negative number instantly. It also tells you whether the number is a perfect square and provides the cube root as a bonus.
What is a Square Root?
The square root of a number n is a value that, when multiplied by itself, gives n. For example, √144 = 12 because 12 × 12 = 144. The symbol √ (radical sign) denotes the principal (non-negative) square root.
Perfect Squares
A perfect square is a number whose square root is a whole integer. Examples include 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, and 144. The calculator automatically detects whether your input is a perfect square.
Square roots are fundamental in geometry (calculating distances, diagonals), physics (wave equations, standard deviation), and everyday calculations like finding the side length of a square given its area.