Question

Find the smallest number that should be subtracted from the biggest 4-
digit number to make it perfect square. Also find the square number
and its root so obtained

Answer 1

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Answer 2

We know that the greatest 4-digit number is 9999.

We first find out the square root of 9999, to get the smallest number that must be subtracted from it.

= > 9) 9999 (

81

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189) 1899

1701

-------

198.

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Now,

From the final long division method, we got the remainder as 198.

Therefore, the required perfect square = 9999 - 198 = 9801.

$= > \sqrt{9801}$

$= > \sqrt{99^2}$

= > 99.

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Therefore, the required smallest number is 198.

Hope this helps!