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Question
Find the least number that must be subtracted to 6666 so that it becomes a perfect square. Also, find the square root of the perfect square thus obtained
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Solution
Let us work out the process of finding the square root of 6666 by long division method.
The remainder in the last step is 105.
Is if 105 be subtracted from the given number the remainder will be zero and the new number will be a perfect square.
∴ The required number is 105.
The square number is 6666 – 105 = 6561
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