Square Root Of 2

When we talk about the square root of 2, we can say that it is actually a fascinating number. It has a long history and it has got some interesting facts. Besides, did you know that the square root of 2 also forms the basis of most office papers like A3, A4, and others as well? Now that’s quite intriguing right.

The square root of two is usually written as √2 or 21⁄2 in mathematics and it is the positive algebraic number which if you multiply by itself, gives the number 2. It is also called the principal square root of 2, to basically differentiate it from the negative number with similar property.

That being said, on defining the term, the square root of 2 is basically equal to the length of the hypotenuse of a right triangle having sides 1. Or, the square root of 2 is the length of a diagonal across a square with sides 1 following Pythagorean Theorem.

The numerical value of square root 2 which has been shortened to 50 decimal places is as follows: 1.41421356237309504880168872420969807856967187537694…

However, the square root of 2 seems to be an irrational number. So it cannot be expressed as a fraction and has an infinite number of decimals. The conclusion is that the exact numeric value or square root 2 can never be determined perfectly.

How to find the square root of 2

The next thing that we will discuss is how to find the square of 2. The first thing that you can try is the popular division method. In this method, you have to first make an estimate meaning you have choose a close number by finding at-least two square roots which are perfect. It has be those square root that your number is between. Then, you can divide the number by one of those square roots. Once you start and continue with the division process, you will need to take the average of the result of step 2 and the root. And finally, you can use the result that you get in step 3 to repeat the 2nd and 3rd step until you get a number that is satisfactory or accurate enough for you. The example is given below:

Square Root Of 2

Secondly, you can always try our square root calculator which is an online tool that shows Square Root for any given input. Byju’s Square Root Calculator makes calculations very simple and interesting. So if you put the input as 2 then the tool quickly shows the result for the given number. Additionally, you can also check out BYJU’S YouTube channel to learn how to find the square of any number:

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Practise This Question

16 hemispheres of radius 2 cm are melted to make a single sphere. Find radius of the sphere.