Answer:
3.7 < √14 < 3.8
Step-by-step explanation:
First approximation
9 < 14 < 16, so
3 < √14 < 4
Second approximation
14 is closer to 16 than to 9.
Is √14 between 3.7 and 3.8? If so, then
3.7² < 14 < 3.8²
13.69 < 14 < 14.44. TRUE
The inequality is 3.7 < √14 < 3.8.
