Complete the following statement. Use the integers that are closest to the number in the middle.
\[
\square< -\sqrt{116}< \square
\]

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Answer

The two integers that are closest to the square root of 116 are \(\boxed{10}\) and \(\boxed{11}\).

Steps

Step 1 ：Calculate the square root of 116, which is approximately 10.770329614269007.

Step 2 ：Find the two closest integers to this square root. The closest lower integer is 10 and the closest upper integer is 11.

Step 3 ：The two integers that are closest to the square root of 116 are \(\boxed{10}\) and \(\boxed{11}\).