# Square Root Calculator

Calculate square roots, check whether a value is a perfect square, and verify the squared result

> Canonical page: https://elysiatools.com/en/tools/square-root-calculator

- **Category:** Math & Numbers

- **Keywords:** square root, calculator, perfect square, sqrt

## Overview

The Square Root Calculator is a precise mathematical utility designed to instantly compute the square root of any given number. It allows you to customize the number of decimal places for highly accurate results, automatically checks if your input is a perfect square, and verifies the calculation by squaring the result back to the original value.

## Inputs

- **Number Input** (text): e.g. 144
- **Decimal Places** (number)
- **Show Perfect Square Check** (checkbox)

## When to use

- Verifying math homework and classroom calculations involving square roots.
- Determining side lengths in construction or design projects when the total area is known.
- Checking if a specific integer is a perfect square for programming or algorithmic tasks.

## How it works

- Enter the number you want to calculate the square root for into the primary input field.
- Adjust the decimal places setting to choose your desired level of precision, up to 15 decimal places.
- Toggle the perfect square check option to see if the number lands exactly on an integer root.
- View the JSON results instantly, which include the calculated square root, the perfect square status, and a verification check.

## Use cases

- Educational environments where students and teachers need to quickly verify algebra and geometry answers.
- Engineering and architectural planning where precise side lengths must be derived from square area measurements.
- Software development scenarios requiring quick validation of perfect square logic or floating-point math.

## Frequently asked questions

### What is a perfect square?

A perfect square is an integer that is the square of an integer. For example, 144 is a perfect square because it equals 12 multiplied by 12.

### How many decimal places can I calculate?

You can configure the calculator to display anywhere from 0 to 15 decimal places, depending on the level of precision you need for your specific task.

### What does the squared check mean in the results?

The squared check takes the calculated square root and multiplies it by itself to verify that it equals your original input number, ensuring mathematical accuracy.

### Can I use decimal numbers as the input?

Yes, you can input decimal numbers to find their square root. The perfect square check will simply return false for non-integer roots.

### Is this tool free to use?

Yes, the Square Root Calculator is completely free to use directly in your browser with no installation required.

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