To find square of a numbers from 51 to 59

In this trick we will learn to calculate the square of all the numbers from 51 to 59.

Short Trick:

52 + (Right Digit)|(Right Digit)2

Note: (Right Digit)2 should be a two digit number. if it is not add ‘0’ before it to make it two digit. Let’s understand it with help of Example.

Example:

Let’s find (54)2

Solution:

Here, Right digit of 54 is 4

Therefore,
(54)2 = (5)2 + 4|(4)2
= (25) + 4|(16)
= 29|16
= 2916

 

Example:

Let’s find (53)2

Solution:

Here, Right digit of 53 is 3

Therefore,
(53)2 = (5)2 + 3|(3)2
= (25) + 3|(9)
= 28|09   
(we added a ’0’ because 9 is single digit)
= 28|09
= 2809