How to find Square Root of a number

To find Root of a number we have to follow some basic rules.

The first and last rule is just a square table

(In this scenario we do some comparisons with known values)

Te table values :

Number	Square
1	1
2	4
3	9
4	16
5	25
6	36
7	49
8	64
9	81
10	100

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By observing the above table we can conclude that (by comparing both first digits of numbers )

Square first digit	Number
1	1 or 9
4	2 or 8
9	3 or 7
6	4 or 6
5	5
0	0

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By using following table-2
if the number first digit is 9 then The root of that number  first digit is   3 or 7
if the number first digit is 6 then The root of that number  first digit is  4 or 6

Note: By observing first table square column we can conclude that square root of any number doesnot ends with 2 ,3,7 or 8

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To find Square roots of unknown numbers we have to use some simple known values.

At last we reached the end to find square roots of a number just follow the TABLE-2 AND TABLE-3

Number	Square
10	100
20	400
30	900
40	1600
50	2500
60	3600
70	4900
80	6400
90	8100
100	10000

Example :
Find square root of  7744 ?
Solution :
Step 1 : 7744 first digit is 4 so the square root  first digit is 2 or 8.
Step 2 : compare this number with second table. The value is in between 80 and 90 so that the number may be 81,82,83,84,85,86,87,88,89.

Step 3 : By using Step 1 we can conclude that the number First digit is 2 or 8 so The Number is either 82 or 88.
Step 4 : If 7744 is close to 6400 then answer will be 82.
Step 5 : If 7744 is close to 8100 then then answer will be 88.