What would be the two integers closest to √(113)

Question

What would be the two integers closest to
`√(113)`

Answer 1

10 and 11

Step-by-step 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.

`\begin{gathered} \text{Square of 10=100} \\ \text{Square of 11=1}21 \\ \text{1}00<113<121 \\ \text{Therefore:} \\ √(113)\text{ must be between 10 and 11.} \end{gathered}`

The two integers closest to the square root of 113 will be 10 and 11.