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Sum
Find the least number which must be subtracted from 1205 so that the resulting number is a perfect square.
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Solution
Clearly, if 49 is subtracted from 1205, the number will be a perfect square.
34 | |
3 | 1205 9 |
64 | 305 256 |
49 |
∴ 1205 - 49 = 1156 and `sqrt(1156)` = 34
Concept: Finding Square Root by Division Method
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