NOTE: This trick is valid between Square from 41 to 59 which is nearest to 50

We will take two example to understand the concept or method to solve Square nearest to 50.


METHOD ONE :

Let's take : 42
First we will subtract the given value "42" with 50 to get the difference value : 8.
Now, we will find sqaure root the value "8" to get the PART TWO or last two digit of the desired Square.

8² = 64

Now, we will subtract the difference value with 25 to get PART ONE of the desired Square.
25 - 8 = 17

at last we have to concatinate or join the VALUE TWO with VALUE ONE to get the desired Square

42² = 1764


METHOD TWO :

Let's take : 54

First we will subtract the given value "54" with 50 to get the difference value : 4.
Now, we will find sqaure root the value "4" to get the PART TWO or last two digit of the desired Square.

4² = 16

Now, we will Add the difference value with 25 to get PART ONE of the desired Square.
25 + 4 =

at last we have to concatinate or join the VALUE TWO with VALUE ONE to get the desired Square

54² = 2916

Watch Youtube video of Square Part 2 for better understanding.