Imagine that you are running to catch a bus across a busy street. Your mind constantly evaluates the location, pace, distance etc. of many other moving automobiles & precisely zeros down the required gap to catch the bus. If your mind can make such critical evaluations instantaneously it can definitely do instant mental calculations. But, HOW? Well, there is a light at the end of a very dark tunnel & it’s called “VEDIC MATHEMATICS’. I would be sharing the tricks on this subject matter on an ongoing basis through this blog.
Let’s see how to find the square of a number by Vedic method.
Example 1: (10)² Let’s see how to find the square of a number by Vedic method.
Step 1: Consider 10 as the reference value.
As 10 is greater than considered reference value 10 by 0 add this difference (that is 0) to 10. So 10 + 0 = 10 is the first part of our answer.
Step 2 : Square the difference numeral (that is 0) which is 0 again.
So 0 is the second part our answer.
As 10 is greater than considered reference value 10 by 0 add this difference (that is 0) to 10. So 10 + 0 = 10 is the first part of our answer.
Step 2 : Square the difference numeral (that is 0) which is 0 again.
So 0 is the second part our answer.
Thus, the final answer is 100.
Example 2: (16)²Step 1: Consider 10 as the reference value.
As 16 is greater than 10 by 6 add this difference (that is 6) to 16.
So 22 is the first part of our answer.
Step 2 : Square the difference numeral (that is 6) which is 36.
Now since 36 is a two digit numeral, add its left numeral (that is 3) to the first part of the answer(that is 22).
So 22 becomes 25 & 36 becomes 6.
So 22 is the first part of our answer.
Step 2 : Square the difference numeral (that is 6) which is 36.
Now since 36 is a two digit numeral, add its left numeral (that is 3) to the first part of the answer(that is 22).
So 22 becomes 25 & 36 becomes 6.
Thus, the final answer is 256.
Example 3: (21)² Step 1: Consider 10 as the reference value.
As 22 is greater than 10 by 11 add this difference (that is 11) to 20.
So 32 is the first part of our answer.
Step 2 : Square the difference numeral (that is 11) which is 121.
Now since 121 is a three digit numeral, add its 2 left numerals (that is 12) to the first part of the answer(that is 32).
So 32 becomes 44 & 121 becomes 1.
As 22 is greater than 10 by 11 add this difference (that is 11) to 20.
So 32 is the first part of our answer.
Step 2 : Square the difference numeral (that is 11) which is 121.
Now since 121 is a three digit numeral, add its 2 left numerals (that is 12) to the first part of the answer(that is 32).
So 32 becomes 44 & 121 becomes 1.
Thus, the final answer is 441.
Example 4: (90)²Step 1: Now, consider 100 as the reference value instead of 10 in the above cases. As 90 is lesser than 100 by 10, subtract (instead of adding in the above cases) this difference (that is 10) by 90.
So 80 is the first part of our answer.
Step 2 : Square the difference numeral (that is 10) which is 100.
Now add the carry over that is 1 from 100 to the first part of the answer(that is 80).
So 80 becomes 81 & 100 becomes 00.
Step 2 : Square the difference numeral (that is 10) which is 100.
Now add the carry over that is 1 from 100 to the first part of the answer(that is 80).
So 80 becomes 81 & 100 becomes 00.
Thus, the final answer is 8100.
Example 5: (88)²
Step 1: Now, consider 100 as the reference value
As 88 is lesser than 100 by 12, subtract this difference (that is 12) by 88.
So 76 is the first part of our answer.
Step 2 : Square the difference numeral (that is 12) which is 144.
Now add the carry over that is 1 from 144 to the first part of the answer (that is 76).
So 76 becomes 77 & 144 becomes 44.
So 76 is the first part of our answer.
Step 2 : Square the difference numeral (that is 12) which is 144.
Now add the carry over that is 1 from 144 to the first part of the answer (that is 76).
So 76 becomes 77 & 144 becomes 44.
Thus, the final answer is 7744.
