Square Root Calculator is a tool that computes the principal square root of any non-negative number, showing the exact result for perfect squares and a decimal approximation for irrational numbers — along with related values like square, cube, and cube root.
How it works: For perfect squares (1, 4, 9, 16, 25…) it returns the exact integer root. For all other inputs, it uses JavaScript's Math.sqrt() which applies a IEEE 754 double-precision floating point algorithm, returning a decimal approximation. Negative numbers have no real square root (result is NaN in floating point).
When you need it: Users typically reach for Square Root Calculator when solving the hypotenuse in a right triangle using the Pythagorean theorem, finding the side length of a square from its area, computing the RMS (root mean square) in physics or engineering, or simplifying a square root expression in algebra.
Key Facts
The squares and square roots of the first 30 positive integers.
| Number (n) | Square (n²) | Square Root (√n²) |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 4 | 2 |
| 3 | 9 | 3 |
| 4 | 16 | 4 |
| 5 | 25 | 5 |
| 6 | 36 | 6 |
| 7 | 49 | 7 |
| 8 | 64 | 8 |
| 9 | 81 | 9 |
| 10 | 100 | 10 |
| 12 | 144 | 12 |
| 15 | 225 | 15 |
| 20 | 400 | 20 |
| 25 | 625 | 25 |
| 30 | 900 | 30 |
The square root of a non-perfect-square is always irrational — it continues infinitely without repeating. √2 ≈ 1.41421356, √3 ≈ 1.73205080, √5 ≈ 2.23606797 are the most commonly encountered irrational square roots.
A Square Root Calculator is a tool that helps you find square roots and cube roots of numbers easily..
It gives direct, structured output so you can copy, download, or reuse the result immediately.
Square Root Calculator helps you complete find square roots and cube roots of numbers easily. in a practical, browser-based workflow. Use it for quick checks, repeatable tasks, and clean output you can reuse immediately.
Input:
Sample input for Square Root CalculatorOutput:
Structured result ready to copySquare Root Calculator focuses on this specific workflow.
Simple Calculator is useful when you need perform basic arithmetic operations like addition, subtraction, multiplication, and division instantly.
Square Root Calculator is a browser-based tool that helps you complete this task with clear input controls and ready-to-use output.
Add your input, review the result, adjust options if needed, and copy or download the final output.
It reduces manual errors, gives consistent output, and handles repetitive formatting or conversion steps in one place.
Yes. The workflow is straightforward and works for both first-time users and advanced users.
Check your input format and selected options, then run the tool again. Most issues come from invalid input values or mismatched settings.