Math to Our Lives
I am B.N. Bhaskar, Maths teacher, Vikasa High
I have studied Vedic Mathematics to some extent and I am teaching
easy methods of it to my students.
I came to know that Swamy Bharathi krishna thirtha Maharaj,
Shankaracharya of Puri has written 16 simple Suthras for different
I. Finding the Square of a Number Ending with 5
To find the square of a number ending with five, it is very
eg. To find the square of 35
The answer contains 2 parts.
The first part is 3(3+1)=3x4=12
The second part is 5 square i.e 25
The final answer is 1225
Similarly, Square of 45 is 4x5=20 and 5x5=25 i.e 2025
Sutra: Yaavadunam Taavaduunikruthya vargam cha yogayet
Meaning: Whatever the extent of its deficiency, lessen it
further to that very extent; and also set up the square of
This sutra is a corollary of the Nikhilam sutra.
Consider a simple example 92
Step 1 : Consider the nearest base (here 10).
Step 2 : As 9 has a deficiency of 1 (10 - 9 = 1), we should
decrease it further by 1, and set down our L HS of the Answer
Step 3 : On the R HS put the square of the deficiency (here
We get 92 = 81.
Try 8 square
Let's multiply 102 and 102
The two numbers are close to 100.
So, let the base be 100.
102 is 2 more than 100 and 103 is 3 more than 100.
The answer has 2 parts
The first part is 102+3 = 103+2 =105
The second part is the product of 2 and 3 =06
Therefore, 102 x 103 = 10506
Try 104 x 105