Square of a Number ending with 75

Square of a Number ending with 75

Let’s say, we want to calculate the square of \( 175^{2} \) . The entire steps are illustrated in the following figure.
https://www.hamaraguru.com/assets/files/2018-01-17/1516172289-660938-imgur-42.jpeg

Step1 : Break the number such that 75 is on the right and the rest of the digits ( i.e, 1 in this case) is on the left.

Step2 : Take the rest of the digit on the left (1) and append 5 to this digit and multiply digit on the left plus 1 i.e., 2 to get the L.H.S part of the answer.

Step3 : The RHS part of the answer will always be 625.

So, the final answer is 30625.

Few more Examples:
https://www.hamaraguru.com/assets/files/2018-01-17/1516172800-493487-imgur-43.jpeg

https://www.hamaraguru.com/assets/files/2018-01-17/1516172800-475720-imgur-44.jpeg