Finding squares is always the interesting thing. The important thing during exams is saving time. Here is the technique to do it.
Case 1: The numbers are less than its base
Square of 97:
Nearest base to 97 to 100. 97 is less than 100 by 3.
Step 1: Subtract 97 by 3 = 94.
Step 2: Square of 3 = 9
Answer: 94 / 09. (Make sure the number of digits is equal to the number of Zeros in the base).
The Answer is 9409.
Square of 94:
Step 1: 94 – 6 = 88
Step 2: Square of 6 = 36
The Answer is 8836
Square of 995:
Nearest base to 995 is 1000. 995 is less than 1000 by 5.
Step 1: 995 – 5 = 990.
Step 2: Square of 5 = 25.
Answer 990 / 025 (Number of digits must be equal to the number of Zeros in the base)
The Answer is 990025.
Square of 88
Step 1: 88 – 12 = 76.
Step 2: 12 x 12 = 144
Answer 76 / 144 (Number of digits is more than the number of Zeros in the base. So it must be carry over). It becomes 77 / 44.
The Answer is 7744.
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