Square Root Calculator to
Find Square Root of a Number

[ Skip to Calculator ] Calcy pointing down

The online Square Root Calculator on this page is useful for quickly calculating square roots.

This free online square roots calculator will calculate the square root of a number and indicate whether or not the radicand is a perfect square.

Plus, unlike other sites with a radicand calculator, if the radicand is not a perfect square this calculator will calculate the nearest perfect squares that are greater and less than the entered radicand.

If you would like to find the square (or any other power) of a number, please visit the exponent calculator.

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


With that, let's use the Square Root Calculator for finding the square root of a number.

Square Root Calculator
Calcy sign introducing Square Root Calculator

Instructions: Enter the radicand and then click the "Calculate Square Root" button.

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, simply convert the fraction to a decimal and then enter the decimal.

Mouse over the blue question marks for a further explanation of each entry field. More in-depth explanations can be found in the glossary of terms located beneath the Square Root Calculator.

calcy treasure chest of features Save Your Work!

Just one of the Treasure Chest of Bonus Features you'll enjoy when you support the Ad-Free, Member Version of this site (for as little as 58¢ per month). Watch the Video Tour to see what you're missing!

Calculator Not Working? Please try disabling Ad Block for this page, as it may be blocking the code that runs the calculator.

Help Radicand (#):
Help Square roots:±
Please grade my work and help me improve:
If you liked this page, please share it, or give it a Like, +1, Tweet, or Pin.
calcy image pointing right

Algebra Calculator Image

Square Root Calculator Glossary of Terms

Calcy magnifying glass

Check Out My Other Super
Online Math Calculators
To Help You To
Solve and Learn ...
Super Calcy

Perfect squares: Numbers that are equal to a whole number squared (see the list of perfect squares above the square root calculator).

Radicand: The radicand is the number inside the radical sign (√), whereas the index is located to the left and above the radical sign. Enter the radicand (the number you are trying to find the square root of), which can be any number greater than or equal to zero.

Square roots: This is result of the square root calculation. If the result is a whole number the entered radicand is a perfect square. Otherwise, if the result is a short decimal, the entered decimal may have a real square root. However, if the result is a lengthy decimal number then the result is most likely an irrational number, which means the result is merely an approximation. In any case, results that are greater than zero will always represent two square roots (one positive and one negative).

Math Tutors

[ Return to Top of Calculator ] [ Return to Top of Page ] Calcy pointing up

> > Square Root Calculator

+1 Free-Online-Calculator-Use.com
+1 Page Site

Protected by Copyscape Online Plagiarism Detection
Calcy with money image
Top Ten Home
Money Calculators

Follow me on any of the social media sites below and be among the first to get a sneak peek at the newest and coolest calculators that are being added or updated each month.

Monthly What's New Email Update!

Who knows if I will show up in your next search. These monthly updates will insure you'll always know what I've been up to and where you can find me!

Terms, Privacy, and Consent * (all)
Online Pocket Calc

Online math problem solver image
Find a Local Math Tutor Today