Online Square Root Calculator Tool

Square Root Calculator

Professional-grade calculator with step-by-step explanations

= ?
Quick Guide:

Enter your number in the input field on the left, then click the "Calculate √" button. Your result will appear on the right with detailed step-by-step calculations below. Use the copy button to copy results, as they may be longer than displayed.

Calculation History

No calculations yet. Start by entering a number above!

Square Root Tutorial

What is a Square Root?

A square root of a number x is a value that, when multiplied by itself, gives x. For example, √9 = 3 because 3 × 3 = 9.

Perfect Squares

Numbers like 1, 4, 9, 16, 25, 36... are perfect squares because their square roots are whole numbers (1, 2, 3, 4, 5, 6...).

Irrational Numbers

Most square roots (like √2, √3, √5) are irrational numbers with infinite, non-repeating decimal expansions.

Historical Facts

The Radical Symbol (√)

The radical symbol √ was first used in print by German mathematician Christoph Rudolff in 1525 in his book "Coss".

Ancient Origins

The concept of square roots dates back to ancient Babylonians around 2000 BCE. They used geometric methods and approximation techniques.

Greek Mathematics

Ancient Greeks discovered that √2 is irrational, leading to a crisis in their mathematical philosophy that only accepted rational numbers.

Advanced Features

Copy Functionality

Click any copy button to copy results to clipboard. Useful for long decimal results.

Multiple Methods

View different calculation approaches including Newton's method and prime factorization.

Detailed Analysis

Get comprehensive information about mathematical properties and convergence analysis.

Copied to clipboard!
Feature Details
Price Free
Rendering Client-Side Rendering
Language JavaScript
Paywall No

Open This Tool

Checkout More Math Tools!



About This Tool
How It Works?

Post a Comment

0 Comments