Square Root Calculator
Calculate the square root of any number with high precision. Supports positive numbers, decimal numbers, and provides step-by-step solutions.
Ready to Calculate
Enter your values and click Calculate to see results
Important Assumptions
This calculator uses JavaScript's built-in Math.sqrt() function for square root calculations.
Frequently Asked Questions
What is a square root?
A square root of a number is a value that, when multiplied by itself, gives the original number.
How is square root calculated?
Square roots are calculated using numerical approximation methods like the Newton-Raphson method.
What about negative numbers?
The square root of a negative number is an imaginary number; e.g., √(-4) = 2i.
What is the difference between perfect and imperfect squares?
Perfect squares have whole-number square roots; imperfect squares have decimal square roots.
How accurate is this calculator?
Results use Math.sqrt() and are highly precise (typically 15–17 decimal digits).
When do I need square roots?
Square roots are used in geometry (Pythagorean theorem), physics (calculating distances, velocities), engineering (stress calculations), statistics (standard deviation), and many other fields requiring mathematical analysis.