Finding the Square of the given Number

In this post we shall discuss about the Shortcut of finding the Square of the Given Number. This is very easy and Simple method. All the you need to learn this method is little concentration and little patience. Remember friends, To make you understand the process clearly, we are posting the process in Step by Step process. But you have to do all these steps Mentally and you should Only write the Answer on Paper... 

Lets start with an example. Assume that you have to find the Square of the number 38.

So, the general process is 38²  multiplying 38 with itself. But this process take much time and effort. So, instead of calculating 38 X 38, just use the formula a² + 2ab + b²

But here you should apply a little trick. If you apply the above formula as it is... you cant get the answer... Just do as mentioned below.

Now, follow the below mentioned steps

Thats it... The answer is 1444.



Now lets have a look at another example. Lets see how to find out the square of 56. I mean 56².


Now treat 6 as a, and 5 as b and apply the a² + 2ab + b² formula as explained above.

• First of all, find the a
  ² i.e., 6
  ² = 36. 

• Now find 2ab i.e., 2 X 6 X 5 = 60

• Now find the b
  ² i.e.,  5
  ²
   =  25, now  add this 25 to 6 = 31. And put this before the numbers 3 6. So it will become 3 1 3 6
• This is our answer 56
  ²
  = 3136

Advantages of this Method :

• We are dividing the given number into two small numbers and then performing calculations on those smaller numbers. So that you can do calculations Mentally in very easy way. 
• Initially you may think that this method is little confusing. Just do 3 or 4 problems, so that you can find the advantage of this method.

If you have any Comments, please use the comments box below. Please tell your friends about us if you like this Post.. Good Day and Happy Reading :)