Square Root Calculator: Works for Decimal and Integer Radicands

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Square Root Calculator

This calculator is handy for quickly calculating square roots. Plus, if the radicand is not a perfect square, the calculator will list the nearest perfect squares that are greater and less than the radicand. The Learn tab includes answers to:

What are square roots?
What are perfect squares?

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DataData recordData recordSelected data record: None

Radicand:Radicand:Radicand:Radicand:

Radicand

Square roots:Square roots:Square roots:Square roots:

If you would like to save the current entries to the secure database, tap or click on the Data tab, select "New Data Record", give the data record a name, then tap or click the Save button. To save changes to previously saved entries, simply tap the Save button. Please select and "Clear" any data records you no longer need.

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Step #1:

Enter the radicand. Note that you can enter non-negative decimal numbers for the radicand. This also means that if you wish to find the square root of a fraction, a mini fraction-to-decimal calculator is located in the pop-up tip for the Radicand line.

Step #2:

Click the "Calculate Square Root" button. This will find the square root of the radicand and let you know whether or not it is a perfect square. And if not perfect, the result will show the perfect squares nearest to the entered radicand.

Saving Entries:

If your web browser supports Local Storage, you can save your entries to your web browser so won't have to start over on your next visit. Please note that your saved entries can only be retrieved from the same device and web browser you were using when you stored them. If you would like to access your saved entries from any device I invite you to subscribe to the Ad-Free Member Version.

To save your entries to your web browser, click or tap the Data tab in the Help and Tools section (mobile: top right of the main screen), select "New Data Record" from the drop-down menu, enter a name for the data record, and then tap or click the Save button.

To load previously saved entries, click or tap the Data tab and select the saved data record from the drop-down menu. You can then save any changes to your entries by simply clicking the Save button while the data record is selected.

To clear a named set of saved entries, click or tap the Data tab, select the saved data record from the drop-down menu, and then tap or click the Clear button.

Numbers and Decimals:

Only numeric characters (0-9 and decimal points) may be entered in numeric fields. Non-numeric characters (dollar signs, percent signs, commas, etc.) may cause calculation errors. If the field includes a grid icon, tapping the icon will open a popup keypad which will include only the characters allowed in the field. If your device keypad does not include a decimal point, use this popup keypad to enter decimal numbers where applicable.

Popup Tool Tips:

Tap the info (i) icons for a further explanation of each entry field (you can click [X] or outside of the pop-up tool tips to close them). A summary of these explanations, along with any additional term explanations, can also be found under the Terms tab.

Disclaimer:

Since I can't test for every possible combination of numbers, please be sure to double-check the results of this calculator yourself before considering them to be valid. If you do discover an issue with the calculated results, please report the issue using the feedback form located below the calculator.

Scrolling & Shrinking:

In order to scroll the calculator vertically you will need to swipe just outside of the calculator's dark-blue border, or use the window's far right-hand scroll bar, whichever is applicable to your device.

If the top section of the calculator becomes to tall for your viewport, tapping in the "Enter a problem..." field should reset the top section to its original height.

Disclaimer:

The Algebra Calculator is the only calculator on the site that I did not create myself. And since I did not create it, I don't have access to the code for fixing any issues you may be experiencing. So if you are having issues with the calculator, please visit the support page at Mathway.com for assistance.

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Calculator Data

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Click Latest button, copy data to a text-only document, then save to your hard drive.

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Help and Tools

Learn

Square roots and perfect squares.

What are Square Roots?

Definition of a square root: The opposite of squaring a number. For example, finding the square root of 81 is the same as asking, "what number when squared is equal to 81?"

Of course, if you know that 9 x 9 = 81, you will know that the square root of 81 is 9 (9² = 81). However, what you might not realize is that -9 is also a square root of 81, because -9 x -9 also equals 81.

In other words, all numbers greater than zero (zero can never be negative or positive) have two square roots -- one positive and one negative. This is why when using an online square root calculator the result will always be preceded by a ± sign.

As for negative numbers, since a negative times a negative always yields a positive number, negative numbers cannot have a real value square root.

What Are Perfect Squares?

When a number has a square root that is a whole number, that number is said to be a perfect square. For example, since √4 has a square root of 2, 4 is said to be a perfect square. Here is a list of the perfect squares up to 225:

List of Perfect Squares up to 225

√1	=	1	since	1²	=	1
√4	=	2	since	2²	=	4
√9	=	3	since	3²	=	9
√16	=	4	since	4²	=	16
√25	=	5	since	5²	=	25
√36	=	6	since	6²	=	36
√49	=	7	since	7²	=	49
√64	=	8	since	8²	=	64
√81	=	9	since	9²	=	81
√100	=	10	since	10²	=	100
√121	=	11	since	11²	=	121
√144	=	12	since	12²	=	144
√169	=	13	since	13²	=	169
√196	=	14	since	14²	=	196
√225	=	15	since	15²	=	225

If you are still having a hard time understanding square roots, please let me know in the feedback form located beneath the calculator and I will try to improve my explanations on this page.

Can I get a "root! root!"? :-)

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Square Root Calculator

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Instructions

Step #1:

Step #2:

Saving Entries:

Numbers and Decimals:

Popup Tool Tips:

Disclaimer:

Scrolling & Shrinking:

Disclaimer:

Glossary

Pocket Calculator

Data Management

Favorites

Side Calc Tape

Selected Data Record:

Radicand:

Square roots:

Monthly "What's New" Email Update:

About

Instructions

Step #1:

Step #2:

Saving Entries:

Numbers and Decimals:

Popup Tool Tips:

Disclaimer:

Scrolling & Shrinking:

Disclaimer:

Glossary

Pocket Calculator

Data Management

Calculator Data:

My Note:

Help and Tools:

Favorites