Square of a Number ending with 25

Square of a Number ending with 25

Let’s say, we want to calculate the square of \( 1125^{2} \) . The entire steps are illustrated in the following figure.
https://www.hamaraguru.com/assets/files/2018-01-17/1516170324-456504-imgur-39.jpeg
Step 1 : Break the number such that 25 is on the right and the rest of the digits ( i.e, 1 in this case) is on the left.

Step 2 : Obtain the square of 25 which is 625. This forms the second (RHS) part of the answer.

Step 3 : Take the rest of the digit on the left (1) and append 5 to this digit and multiply by the digit on the left to get the L.H.S part of the answer.

So, the final answer is 15625.

Few more Examples:
https://www.hamaraguru.com/assets/files/2018-01-17/1516170520-438714-imgur-40.jpeg

https://www.hamaraguru.com/assets/files/2018-01-17/1516170520-422370-imgur-41.jpeg