Short trick to find Square root of Any Number

short trick to find square root.In my previous post, we have discussed how to find the square of the numerals ending with 5. Now we will use that trick to find square root of any number.

You should implement following steps to find square root of any number in seconds:

Short trick to find Square root 

Short trick to find square root:

Let us begin our discussion with this simple e.g.

Square root of 2401 i.e. √2401:

How to find the square root of any number?

Step 1: Firstly divide the given numeral into two parts in such a way that one part will have only last two digits of the numeral (because we are finding square root) and the  other part contains all the remaining digits of the numeral.

So, it would be like

short trick to find square root

Short trick to find square root

 Step 2: Refer this table.

Number	Square	Last digit
0	0	0
1	1	1
2	4	4
3	9	9
4	16	6
5	25	5
6	36	6
7	49	9
8	64	4
9	81	1

Short trick to find square root.

So, we observe that second part i.e. 24 lies between Square of 4 & 5 i.e.  (4)² < 24 >(5)².

Step 3: Append one zero after these numbers so it becomes 40 and 50.

Now by reaching this step it is clear that the square root of 2401 lies between 40 and 50.

Step 4: Now focus at our numeral's (2401) first part i.e. 01

It is evident that if the numeral is ending at 1 then its square root will either end with either 1 or with 9 (refer above table).

That means either 41 or 49 (in this case).

Step 5: To choose one number between 41 and 49, just apply the trick that we have learned in my previous post.

So find the square of the number 45 which is 2025.

Step 6 : Now have a look at this numeral 2401.

Since 2401>2025

Hence, it is obvious that square root cannot be 41. So it is definitely 49.
And you’re done.

If you still have any queries regarding this then do comment below.I would be happy to help you out.