TO FIND SQUARE OF ANY NUMBER.

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 HERE ARE SOME IMPORTANT TRICKS TO LEARN...

TO FIND SQUARE OF ANY NO.

METHOD  1:

WHEN THE LAST DIGIT IS "5"

EXAMPLE:
Que 1 .    FIND (25)²
Soln:    (2 X 3) 25   // multiply the first digit to its next digit and write 25 at last

       // next number to 2 is 3 so <3x2=6>

            =625 ans.


Que 2:    Find (75)²
Soln:     (7X8)25
            = 5625 ans

Que 3 :  Find (105)²
Soln:    (10X11)25
            =11025 ans. 

METHOD  2:

WHEN THE NUMBER IS BETWEEN 40 to 60

 Steps to find the square between 40-60 :

Note : Remember 25 in these number .. its your friend now and it will help you to find solution.
Here  may be two conditions:

1.      When the number is greater than 50

example:

Que 1. Find  (54)²

soln:  1. Add last digit into 25 (25+4 = 29)

         2.  find the square of last digit (here last digit is 4  so 4² =16)

         3. The ans is Step 1 + step 2

        4.  2916  is your ans.

Que 2.  Find (57)²

Soln:  (25+7)7²

          = 3249 ans.

Que 3: find   (59)²

Soln :  (25+9)9²

          = 3481 ans.


FIND : (69)²
Soln:  69= 50+19
       (69)²=(25+19)19²
               = (44+carry3)61

               = 4761 ans.

3.When the number is less  than 50

 example:

Que 1.  Find  (44)²

Soln :  1. Find the difference of the number to 50 < here 50 - 44 = 6  >

         2.  Subtract  last difference  from 25 (25-6 = 19)

         3. find the square of difference  digit (here last digit is 6  so 6² =36)

        4.  The ans is Step 2 + step 3

        5. 1936 is your ans.

Que 2.  Find  (34)²

Soln:  34= 50-16
       (34)²=(25-16)16²
               = (9+carry 2 )56

               = 1156 ans.

METHOD  3:

WHEN THE NUMBER IS GREATE THAN 100

example:

Que 1. Find  (102)²

Soln:  By Vedic method:

            102X102

            100      02                

            100      02

--------------------------------

            A         B

 

                 

100      02                

            100      02

________________________

            104      04  = 10404 ans.

Example 2 :

Que 1. Find  (108)²

Soln:  By Vedic method:

            108X108

=          100      08                

            100      08

_____________________

100+08+08     08X08

=          100      08                

            100      08

______________________

            116      64  =  11664 ans.

METHOD 4:

WHEN THE NUMBER IS LESS THAN 100

Example:

Que 1. Find  (92)²

Soln:  By Vedic method:

            92X92

            100      -08                

            100      -08

--------------------------------

            A         B

100      -08                

            100      -08

________________________

100-08-08        64   =  8464 ans.

Example  :

Que 2. Find  (94)²

Soln:  By Vedic method:

108X108

=          100      -06                

            100      -06

_____________________

100-06-06     -06X-06   = 8836 ans.