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Find the least number that must be subtr...

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 .

Text Solution

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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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