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Question
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
96
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Solution
Here, a = 9, b = 6
Step 1. Make 3 columns and write the values of a2, 2 x a x b and b2 in these columns.
| Column I | Column II | Column III |
| a2 | 2 x a x b | b2 |
| 81 | 108 | 36 |
| Column I | Column II | Column III |
| a2 | 2 x a x b | b2 |
| 81 | 108 + 3 | 36 |
| 111 |
| Column I | Column II | Column III |
| a2 | 2 x a x b | b2 |
| 81 + 11 | 108 + 3 | 36 |
| 92 | 111 |
| Column I | Column II | Column III |
| a2 | 2 x a x b | b2 |
| 81 + 11 | 108 + 3 | 36 |
| 92 | 111 |
In this case, we have:
962 = 9216
Using multiplication:
96
96
576
864
9216
This matches with the result obtained using the column method.
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