ANSWER
[tex]\text{between }11.1\text{ and }12.1[/tex]
EXPLANATION
We want to find the range that contains the value of the given radical:
[tex]\sqrt{5(20+9)}[/tex]
To do this, simply the radicand:
[tex]\begin{gathered} \sqrt{5(29)} \\ \sqrt{145} \\ 12.04 \end{gathered}[/tex]
Therefore, as we can see from the value above, the value of the radical given is contained between 11.1 and 12.1.
That is the answer.
