Simple Square Root Calculator

This simple square root calculator helps you find the square root of any positive number quickly. Whether you're a student, engineer, or just need a quick math tool, this calculator provides an easy way to compute square roots with clear explanations and examples.

What is Square Root?

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4 because 4 × 4 = 16. Square roots are denoted by the radical symbol √.

Square roots are used in various mathematical applications, including geometry, algebra, and calculus. They are also essential in physics, engineering, and finance for solving equations and modeling real-world problems.

How to Calculate Square Root

Calculating square roots can be done using several methods, including:

Prime Factorization: Break down the number into its prime factors and pair them to find the square root.
Long Division Method: A step-by-step process similar to long division for finding square roots.
Using a Calculator: The quickest method for most practical purposes.

Our simple square root calculator uses the built-in JavaScript Math.sqrt() function to provide accurate results instantly.

Square Root Formula

The square root of a number x is written as √x. Mathematically, it can be expressed as:

√x = y, where y × y = x

For example, √9 = 3 because 3 × 3 = 9. The square root function is the inverse of squaring a number.

Square Root Examples

Here are some examples of square roots:

√4 = 2 (since 2 × 2 = 4)
√16 = 4 (since 4 × 4 = 16)
√25 = 5 (since 5 × 5 = 25)
√36 = 6 (since 6 × 6 = 36)
√49 = 7 (since 7 × 7 = 49)

These examples illustrate how the square root function works for perfect squares. For non-perfect squares, the calculator will provide an approximate decimal value.

Square Root Table

Here's a table showing the square roots of numbers from 1 to 20:

Number (x)	Square Root (√x)
1	1.000
2	1.414
3	1.732
4	2.000
5	2.236
6	2.449
7	2.646
8	2.828
9	3.000
10	3.162
11	3.317
12	3.464
13	3.606
14	3.742
15	3.873
16	4.000
17	4.123
18	4.243
19	4.359
20	4.472

Frequently Asked Questions

What is the square root of 0?

The square root of 0 is 0 because 0 × 0 = 0.

Can I find the square root of a negative number?

No, the square root of a negative number is not a real number. It involves imaginary numbers, which are beyond the scope of this simple calculator.

How accurate are the results from this calculator?

This calculator uses JavaScript's built-in Math.sqrt() function, which provides accurate results to approximately 15 decimal places.

Can I use this calculator on my mobile device?

Yes, this calculator is fully responsive and works on all devices, including mobile phones and tablets.