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Square Root on Calculator Windows

Reviewed by Calculator Editorial Team

Calculating square roots on Windows Calculator is a straightforward process that can be done in just a few steps. This guide will walk you through the process, explain the formula used, and provide practical examples to help you understand how to use this function effectively.

How to Calculate Square Root on Windows Calculator

Windows Calculator includes a square root function that allows you to find the square root of any positive number. Here's how to use it:

  1. Open the Calculator app on your Windows device. You can find it by searching for "Calculator" in the Start menu.
  2. Switch to the Scientific view by clicking the "Scientific" button at the top of the calculator.
  3. Enter the number for which you want to find the square root.
  4. Click the "√" (square root) button on the calculator.
  5. The result will be displayed on the screen.

Note

The square root function in Windows Calculator only works with positive numbers. If you enter a negative number, the calculator will display an error message.

Square Root Formula

The square root of a number \( x \) is a value that, when multiplied by itself, gives \( x \). Mathematically, this is represented as:

√x = y where y × y = x

For example, the square root of 25 is 5 because 5 × 5 = 25.

Square Root Properties

  • The square root of a negative number is not a real number (it's an imaginary number).
  • The square root of 0 is 0.
  • The square root of 1 is 1.
  • The square root of a perfect square is an integer.

Worked Examples

Let's look at a few examples to see how the square root function works in practice.

Example 1: Finding the Square Root of 16

  1. Open the Calculator app and switch to Scientific view.
  2. Enter the number 16.
  3. Click the "√" button.
  4. The result will be 4, because 4 × 4 = 16.

Example 2: Finding the Square Root of 2

  1. Open the Calculator app and switch to Scientific view.
  2. Enter the number 2.
  3. Click the "√" button.
  4. The result will be approximately 1.414, because 1.414 × 1.414 ≈ 2.

Precision Note

The Windows Calculator provides results with up to 15 decimal places, but for most practical purposes, 3-4 decimal places are sufficient.

Frequently Asked Questions

Can I find the square root of a negative number on Windows Calculator?
No, the square root function in Windows Calculator only works with positive numbers. If you enter a negative number, the calculator will display an error message.
How do I clear the calculator screen?
To clear the calculator screen, click the "CE" (Clear Entry) button to clear the current input, or click the "C" (Clear) button to clear everything.
Can I use the square root function in the Standard view of the calculator?
No, the square root function is only available in the Scientific view of the Windows Calculator.
What if I get an error when trying to find the square root?
If you see an error message, double-check that you've entered a positive number and that you're using the Scientific view of the calculator.