Square Root Calculator
Calculate the square root of any non-negative number.
Result
12
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Formula
Result = √xSquare Root Calculator
The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12, because 12 × 12 = 144.
Common Use Cases
Square roots appear in geometry (Pythagorean theorem), physics (calculating velocity and distance), statistics (standard deviation), finance (volatility measures), and engineering (RMS values in electrical signals). The square root function is also the inverse of squaring a number.
Tips for Accurate Results
- The square root of a negative number is not a real number — it's an imaginary number. This calculator requires non-negative input.
- Perfect squares (like 1, 4, 9, 16, 25) have integer square roots. Most other numbers produce irrational results.
- For quick mental estimates, remember that √2 ≈ 1.414 and √3 ≈ 1.732.
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