Question

What least number should be subtracted from 893304 to get a perfect square? Find the square root of this perfect square?

Answer 1

First let us find the square of 893304 using long division method.
The remainder is 279. Hence 945² < 893304.

The next perfect square number is 946² = 894916 > 893304.
Hence, the number to be added is 894916 - 893304 = 1612.
Therefore 1612 should be added to 893304 to get a perfect square.


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