Let’s say, we want to calculate the square of 2052 . The entire steps are illustrated in the following figure.
Steps for better understanding:
Step 1 : Break the number such that 05 is on the right and the rest of the digits is on the left.
Step 2 : Obtain the square of 05 on the right to get 025. This forms the second part of the answer. A number ending with 05 will always have 025 as the 2nd part of the answer when we take its square.
Step 3 : Take the rest of the digits(2) and take its square followed by the digit itself which forms the 1st part of the answer.
So, 2052 = 22 / 2 / 025 = 42025.
Few more Examples:
Notice the difference from the previous example. In this case, we have 2-digits on the left. So, we need to consider the carry – over.
So, 12052 = 122 / 12 /025 = 144+1/2/025 = 1452025