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Finding Square Root by Long Division Method

Find the leas...

Question

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.

$∴ 1205 - 49 = 1156 a n d \sqrt{1156} = 34$

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