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Find square root by vedic maths

1.   We have to look at the numbers from 1 to 9.

     Square of 1 (12)=   1
Square of 2 (22)=   4
Square of 3 (32)=   9
Square of 4 (42)= 16
Square of 5 (52)= 25
Square of 6 (62)= 36
Square of 7 (72)= 49
Square of 8 (82)= 64
Square of 9 (92)= 81

2.     From this we can infer that
Square root of any number which ends with 1 will end with 1 or 9 (1+9=10).
Square root of any number which ends with 4 will end with 2 or 8 (2+8=10).
Square root of any number which ends with 9 will end with 3 or 7 (3+7=10).
Square root of any number which ends with 6 will end with 6 or 4 (6+4=10).

If the square ends in

        1

       4

       9

       6

        5

        0

The no. would end in

      1,9

     2,8

     3,7

     4,6

        5

        0


These facts are very logical and easy to remember. You have to understand the logic behind it easily.

In vedic mathematics to find the square root of  numbers which are perfect squares, the specific method is applied.


Illustration 1:- 2304

Solution:-

Step 1:- At first we take two parts of given number

1st part                2nd part

   23                          04     

Note:-2nd part have last two digit always & rest in 1st part.

Step 2:- 42 < 23 < 52

we take 4 is the 1st part of answer.(Always take least number)

Step 3:- Last digit is 4 , it means 2 or 8 is the 2nd part of answer.

23 is near the square of 5 and not with the square of 4

So 2nd part of answer is 8 (greater part)

Note:- If 23 is near the square of 4 then 2nd part of answer is 2 (lesser part)

Step 4:- Answer is 48


Illustration 2:- In 23716

Solution:-

Step 1:- At first we take two parts of given number

1st part                2nd part

   237                      16     

Note:-2nd part have last two digit always & rest in 1st part.

Step 2:- 152 < 237 < 162

we take 15 is the 1st part of answer.(Always take least number)

Step 3:- Last digit is 6 , it means 4 or 6 is the 2nd part of answer.

237 is near the square of 15 and not with the square of 16

So 2nd part of answer is 4 (lesser part)

Note:- If 237 is near the square of 16 then 2nd part of answer is 6 (greater part)

Step 4:- Answer is 154

Remember the following:

1.     You should know the squares of all numbers from 1 to 9.

2.    You should remember, depending on the last digit of the given number , how to arrive at the last digit of the answer.

3.     Use logical decisions, rather than formula to arrive at the right answer.



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