Square Root Calculator

Find the principal square root of a non-negative number. Enter your own values below to see square root and check the method behind it.

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Your inputs

Change the example values to match your situation.

Your result

Let’s work it out.

Fill in your inputs and select Calculate.
Your result and breakdown will appear here.

How this calculator works

Square root is the non-negative x satisfying x² = the entered number.

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What is Square Root Calculator?

Square Root Calculator helps you find the principal square root of a non-negative number.

The main result is square root. The formula, example and assumptions below explain how to interpret it.

How to use Square Root Calculator

Use the example to get familiar with the form, then enter your own figures. Any rates in the example are illustrative. Check the field labels and units before calculating.

  1. Gather number. Use values from the same situation or reporting period.
  2. Replace the example number with your own value, then complete the other fields. Check the displayed units.
  3. Select Calculate and read square root. Change one input and calculate again to compare a second scenario. Reset restores the original example.
  • Enter number, at least 0. Decimals are accepted.

Square Root Calculator: a worked example

With the inputs below, the result is 12 (square root). Follow the example, then replace these illustrative values with your own.

Example inputs and output
Input or outputExample value
Number144
Square root12

Understanding the Square Root result

The main output is square root. It applies to the inputs and operation you selected.

Displayed results use a readable number of decimal places. When checking a result by hand, keep extra precision until the last step. To compare scenarios, change one input at a time and keep the others fixed.

Square Root Calculator: assumptions and common mistakes

A useful estimate starts with the right inputs. Check the following assumptions and limits before applying the result to your situation.

  • Check the base value, sample definition and chosen operation. Display rounding should come after the calculation.

For wider guidance, visit NIST statistical handbook. The formula and scope of this specific tool are stated on this page.

Square Root Calculator FAQs

What does Square Root Calculator calculate?

Square Root Calculator helps you find the principal square root of a non-negative number. Its main output is square root.

What inputs do I need for Square Root Calculator?

You need number. Use the field labels and units to match your figures to the formula.

Which formula does Square Root Calculator use?

Square root is the non-negative x satisfying x² = the entered number.

What is a worked example for Square Root Calculator?

Example inputs: Number: 144. The result is 12 (square root).

How should I enter number?

Enter number, at least 0. Decimals are accepted.

Why might the displayed result be rounded?

The result display limits decimal places to keep numbers readable. Very small values may use scientific notation. Keep extra precision during a manual calculation, then round the final answer for comparison.

How should I read square root?

The main output is square root. It applies to the inputs and operation you selected.

Why might my Square Root Calculator result differ from my records?

Check the base value, sample definition and chosen operation. Display rounding should come after the calculation. Differences in entered values, units or rounding can also change the comparison.

Can I compare two scenarios in Square Root Calculator?

Yes. Note your first square root, change number or another input, and select Calculate again. Editing a field clears the old result so it is not mistaken for a new calculation.

Is Square Root Calculator free, and where are my inputs calculated?

This calculator is free to use without signing in. Its formula runs in your browser; calculator inputs are not sent to a calculation API. The inputs reset to the example values when you reset the form or start a fresh page.