Given
![√(11)](https://img.qammunity.org/2023/formulas/mathematics/high-school/mhcotjzvpiaivofa5mxmfmkko0zxvfki4w.png)
Find
Two values in which the number is between
Step-by-step explanation
as we know root 11 is lies between 3 and 4
, so the root must be between 3 and 4
![3<√(11)<4](https://img.qammunity.org/2023/formulas/mathematics/college/i1iqgk72vwi63kj5zsfhnpbx7rewdjckue.png)
closer to 3 than 4 because 11-9 = 2 and 16-11 = 5
since , there are 7 numbers between 9 and 16.
we are 2 number away from 9 .
so , it is may be
![3(2)/(7)\approx3.29](https://img.qammunity.org/2023/formulas/mathematics/college/1bwt36q3dhgmj59goghfqbvsflp3q7kqdi.png)
so , the two number in which the root 11 lies are 3.29 and 3.32
Final Answer
Hence , the correct option is D