Answer:
10 and 11
Explanation:
We are required to determine the two integers closest to the square root of 113.
To do this, we determine the nearest square number less than and greater than 113.
[tex]\begin{gathered} \text{Square of 10=100} \\ \text{Square of 11=1}21 \\ \text{1}00<113<121 \\ \text{Therefore:} \\ \sqrt{113}\text{ must be between 10 and 11.} \end{gathered}[/tex]The two integers closest to the square root of 113 will be 10 and 11.