[[1]] is the square root of the largest five-digit perfect square.

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Detailed Solution

316 is the square root of the largest five-digit perfect square.
Here, we have to find the square root of the largest five-digit perfect square.
Consider the greatest five-digit number is 99999.
Solving by long division method.
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Now, doubling the divisor we get,
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Now,

61 × 1 = 61

which is less than 99, so the new number is 1.
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Again, doubling the divisor we get,
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Here,

626 × 6 = 3756

which is less than 3899, so the new number is 6.
Table

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Therefore, we can say that the number 99999 isn’t a perfect square as it leaves a remainder of 143.
The number must be subtracted from 99999 to make it a perfect square.
Thus,