Vedic Mathematics: How to find out square of a three-digit number ending with 5? | Examite

Let us start with an example. Consider the three-digit number is 125 and we are going to find out its square i.e; 125² = ?.

 

125 X  125

?

We are going to follow the following simple steps to find the answer.

1. Multiply 5 by 5 and put (25) as right hand side of the answer.
2. Add 1 to top left digit 12 to make it 13.
3. Now multiply (13) by bottom left 12 which gives 156. Place (156) as the left hand side of the answer.

Voila!!! We got the answer.  It’s 15625.

125 X  125

15625

So, 125²= 12 X (12 +1) /  25 = 15625;

In the same way,

105²= 10 X 11/25 = 11025;

135²= 13 X 14/25 = 18225;

[Note:  In case of  finding out the square of a two-digit number after multiplying 5 by 5 there was only one digit on the left hand side. Whereas, in this case there are two digits at the left hand side. ]

Exercises:

1.

145 X  145

2.

175  X 175

3.

195 X 195

4.

155 X 155