**Ekadhikena Purvena**

The Sutra (formula) Ekādhikena Pūrvena means: “By one more than the previous one”.

Now we relate the sutra to the **‘squaring of numbers ending in 5’**. Consider the

example 25^{2}.

Here the number is 25. We have to find out the square of the number. For the

number 25, the last digit is 5 and the ‘previous’ digit is 2. Hence, ‘one more

than the previous one’, that is, 2+1=3. The Sutra, in this context, gives the

procedure’to multiply the previous digit 2 by one more than itself, that is, by 3′.

It becomes the L.H.S (left hand side) of the result, that is, 2 X 3 = 6. The R.H.S

(right hand side) of the result is5^{2}2, that is, 25.

Thus 25^{2} = 2 X 3 / 25 = 625.

In the same way,

35^{2} = 3 X (3+1) /25 = 3 X 4/ 25 = 1225;

65^{2} = 6 X 7 / 25 = 4225;

105^{2} = 10 X 11/25 = 11025;

135^{2} = 13 X 14/25 = 18225;

Watch The video below to understand the concept clearly

**Apply the formula to find the squares of the numbers 15, 45, 85, 125, 175 and verify the answers.**

Comment below in case you find any problem in this technique.

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