Square Root Calculator
Calculate the square root of any non-negative number. The square root of x is the number that when multiplied by itself equals x. Free online square root calculator for math, geometry, and everyday calculations.
Square root calculator
Square root
What is this?
The square root of a number x is the value that, when multiplied by itself, gives x. Written as √x. For example, √144 = 12 because 12 × 12 = 144. Only defined for non-negative numbers in real numbers. The square root is the inverse of squaring: if you square 8 you get 64, so the square root of 64 is 8. The calculator handles decimals and large numbers. It returns the principal (non-negative) square root. For negative numbers, you would need complex numbers, which this calculator does not support.
When to use
Use for geometry (side length of a square from area), Pythagorean theorem, standard deviation, or any math involving roots. Example: Area 64 m² → side = √64 = 8 m. Geometry students find side lengths from area. The Pythagorean theorem (a² + b² = c²) often requires taking square roots to find c. Standard deviation formulas use square roots. Engineers and scientists use it in various calculations. Quick and accurate for any non-negative input.
How to use
Enter a non-negative number. √x is the number that when multiplied by itself gives x.
Frequently asked questions
- The square root of a number x is the number that when multiplied by itself equals x. For example, √144 = 12 because 12 × 12 = 144.
- No. The square root of a negative number is not a real number. This calculator only accepts non-negative inputs.