Find the least number that must be subtracted from 5607 so as to get a perfect square. Also find the square root of the perfect square.find the greatest 4 digit number which is a perfect square .

Explanation

If we try to calculate the square root of `5607`, then we get a remainder `131`.

So, if we subtract `131` from `5607` then we get a perfect square.

So, perfect square = `5607 - 131 = 5476`

The square root of `5476 = 74`



The greatest 4-digit number is `9999`.

If we try to calculate its square root, then the remainder is `198`

So, if we subtract `198` from `9999` then we get a perfect square.

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