Square Root Calculator to
Find Square Root of a Number

[ Skip to Calculator ]

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:

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

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. 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.
Radicand (#):	√
Square roots:±
Please grade my work and help me improve: This Form cannot be submitted until the missing fields (labelled below in red) have been filled in Please note that all fields preceded by a red asterisk must be filled in. * Calculator Title * Calculator Web Address (www.free-online-calculator-use.com/____.html) * What letter grade would you give the calculator on this page? A - Perfect, I wouldn't change a thing! B - Good, but needs slight improvement or an update. C - Okay, but missing important feature(s). D - Poor, did not provide me with the solution I was hoping for. F - Fail, didn't work, inaccurate, should cost less than "free". (Please tell me what you entered so I can track down and fix the problem.) * If you gave it an "A", what did you like most about it, or how did it help you? -OR- If less than "A", what change(s) would earn the calculator a higher grade? Have a question about the calculator? Enter it below and be sure to include your first name and a valid email address. Platform, Web Browser, & Data (Please click the button one time only, it may take a moment to submit.) If you liked this page, please share it, or give it a Like, +1, Tweet, or Pin. Tweet

Square Root Calculator Glossary of Terms

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

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).

Calculators that can help you solve financial problems:

• Debt investment return calculator - Wow!
• Rapid payoff calculator for debt reduction at break-neck speed!
• Will it pay to consolidate auto loans?

[ Return to Top of Calculator ] [ Return to Top of Page ]

Home > Math Calculators > Square Root Calculator

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