# Square of a Number ending with 05

Let’s say, we want to calculate the square of \( 205^{2} \) . 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, \( 205^{2} \) = \( 2^{2} \) / 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, \( 1205^{2} \) = \( 12^{2} \) / 12 /025 = 144+1/2/025 = 1452025

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