This Square Root Calculator will help you to find the principal square root and also roots of other real number. Input the desired values and get your results in the matter of seconds.

Meanwhile, see other math-related calculators, such as Log Calculator, Area of a Trapezoid, Condense Logarithms, or maybe you want to learn more about trigonometry, so head to this Cofunction Calculator. Also, we recommend you to learn more about Segment Addition Postulate as well.

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What is square root?

We call a square root an expression in which we multiply one number by itself. Rooting is the computational operation in which we have roots. We mainly express it with √ sign. The natural number below the root is called a radiant, and the expression above that the root is an exponent. We often use it in almost every case written without an exponent.

Square root symbol

The symbol “” for the square root was first used in print in 1525, in Christoph Rudolff’s Coss.


This table was made between 1800 BC and 1600 BC by the Yale Babylonian, showing:

\sqrt{2}\text{ and }\frac{\sqrt{2}}{2} = \frac{1}{\sqrt{2}}

separated as 1; 24,51,10 and 0; 42,25,35 is based on 60 numbers on a square crossed by two diagonals. They found a procedure for determining the value of the of it. They used the calculation of the approximate value of the square root-specific algorithms.

To calculate it, he used the iteration method. Clay is kept at Yale University cuneiform tablets from the 17th century BC., on which it is the procedure for determining the diagonal of the square of page 30.

German scientist Michael Stifel in the 15th century, in his book Arthitmetica Integra, he used root symbols. The designation for the root is most likely comes from the first letter of the Latin word radix.

How to calculate square root?

The product is first calculated and then rooted. That product can also be rooted so that each factor is rooted separately. The square root of the quotient is equal to the quotient of the square roots. If we root the sum or difference, we should first calculate their value and only then root. In computation, emphasis and rooting take precedence over other computational operations.

How to find Square Root without calculator?

To find the square root of a whole number, you can also divide the whole number by numbers until you get an answer that is the number you divided the whole number by. For example, 16 divided by 4 is 4. And 4 divided by 2 is 2, and so on. Or just use this Square Root Calculator.

Square Root of a negative number

The square of any positive and negative number gives a positive result, and the square of 0 is 0. Thus, no negative number can have a real square root. However, it is possible to work with complex numbers, which have solutions for the square root of a negative number. This is done by introducing a new number, denoted by i. And it’s called an imaginary unit.

How to simplify Square Roots?

Simplifying square roots looks tricky, but it really isn’t. To simplify a square root, you just have to factor the number and pull the roots of any perfect squares you find out of the radical sign. Once you`ve memorized a few typical perfect squares and know how to factor a number, you`ll be well on your way to simplifying the square root.

Perfect Squares

The Perfect Squares are the squares of the next integers:


Frequently Asked Questions

The square root of 2

The square root of 2 is equal to approximately 1.4142 is a positive real number. When multiplied by itself, we get the number 2.

The square root of 3

The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. The root of 3 is approximately 1.7320508075.

Is the square root of 2 a rational number?

Yes, 2 is a rational number. We know that a rational number is in the form of p/q where q is not equal to zero.

Be sure to check out our Quadratic Equation Calculator!