[[1]] is the square root of the smallest four-digit perfect square.

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Detailed Solution

32 is the square root of the smallest four-digit perfect square.
Here, we have to find the square root of the smallest four-digit perfect square.
Consider the least 4-digit number is 1000.
Solving by long division method.
Question Image

Now, doubling the divisor we get,
Question Image

Now, evaluate the square of 32 as the square of 31 is less than the smallest 4-digit number.

∴ 322 = 1024.

So,

1024 = 32.

Thus, 32 is the square root of the smallest four-digit perfect square.

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