Square Root Calculator Using Long Division
Enter the number for which you want to calculate the square root
The Square Root output
Introduction and Usage of the Tool
This online Square Root Calculator uses the Long Division method to find square roots step by step in a clear, visual format. Unlike black-box calculators, this tool shows exactly how the square root is calculated.
Simply start typing a number in the input box. As you type, the calculator instantly generates the full long division structure of the square root calculation in real time. The computation is extremely fast, and no button click is required.
For non-perfect squares, you can control how many decimal places appear in the square root by adding a decimal point followed by zeros to the input. Each additional pair of zeros allows the long division process to continue further, producing more decimal digits in the result. For example, entering 153 gives a square root of 12, entering 153.00 gives 12.3, and entering 153.000000 gives 12.369. This lets you decide the required precision directly through the input itself.
Key features:
- Instant calculation as you type
- Clear long division layout for better understanding
- Works for perfect squares and non-perfect squares
- Calculates square roots for both whole numbers and decimal numbers
- To get more decimal places in the square root of a non-perfect square, append a decimal point followed by pairs of zeros to the input.
- Fully online, interactive, and self-updating
Automatic Handling of Decimal Places
With decimal numbers, the digits after the decimal point must always be grouped in pairs, which means the number of decimal places must be even.
You are free to add the required zero (or additional digits) yourself to make the decimal places even. If you forget to do so, the calculator automatically appends that one extra zero to the extreme right of the decimal part, ensuring the calculation always follows the correct long division structure without interrupting your workflow.
This tool is ideal for students, teachers, and anyone who wants to learn or verify square root calculations visually.