Square Part 3

Vedic Maths trick to Find Square nearest to 100.

NOTE: This trick is valid for the numbers which is nearest to 100

We will take two example first is below 100 and second will be above 100 to understand the concept or method to solve Square nearest to 100.

METHOD ONE :

Let's take : 97

First check given value how much lesser then 100 so subtract "97" with 100 to get the difference value :
100 - 97 = 3.

Now, we will find sqaure of the value "3" to get the PART TWO or last two digit of the desired Square.
32 = 9

if square is in one digit we will take it in two digit form so final square will be 09

Now, we will subtract the difference value with 97 to get PART ONE of the desired Square.
97- 3 = 94

Now add the carry with PART ONE if we have any and conclude the final result as-
972 = 9409


METHOD TWO :

Let's take : 109

First check given value how much more then 100 so subtract 100 with "109" to get the difference value :
109 - 100= 9.

Now, we will find sqaure of the value "9" to get the PART TWO or last two digit of the desired Square.
92 = 81

Now, we will add the difference value with 109 to get PART ONE of the desired Square.
109+ 9 = 118

Now add the carry with PART ONE if we have any and conclude the final result as-
1092 = 11881