Vedic technique to square a number

Vedic   technique to  square a number which ends in 5

Steps to follow

1.      Multiply the first number by its consecutive number.

2.      Multiply second digit i.e. 5 by itself and attach it at the end of the result obtained in the previous step.

e.g.      1.         75²  

            Step 1 :  7 x 8  =  56

            Step 2 :  5 x 5  =  25

Answer is  ;                 5625

2.         145²

                        Step 1 :  14 x 15  =  210

            Step 2 :      5 x 5  =  25

Answer is  ;                 21025

Vedic   technique to  square a number

(Nikhilam Method)

Squaring of numbers which are close to a base of 100, 1000, 10000 etc.

Squaring of numbers which are less than the base of 100.

Steps :

1.     Make a partition and on the right side of the partition there are two places as base 100 has two zeros.

2.     Difference  less than base.

3.     Square the difference  less than base, these are the last two digit of square are write on the right side of the partition.

4.     Subtract difference from rest number.

e.g. 1.            96²

step 1            :           96                   - 4

                                   92       /          16                   =          Sol.   9216

e.g.  2.           85²

step 1            :           85                   - 15

                                 70       /          22 (carry 2 to the left and add to 70 to get 72 )

=          Sol.   7225