Final answer:
The square root of 14 is not reasonably approximated as 3 because it is closer to the square root of 16, which is 4. A better approximation would be slightly less than 4.
Step-by-step explanation:
The question is whether it is reasonable to say that the square root of 14 is approximately 3. To evaluate this, we can consider that the square root of 9 is exactly 3, and the square root of 16 is exactly 4. Since 14 is closer to 16 than to 9, a better approximation for the square root of 14 would be slightly less than 4 rather than 3. Thus, while estimating the square root of 10 as 3 is somewhat reasonable because 3 squared (3 x 3) is 9, which is close to 10, asserting that the square root of 14 is approximately 3 is not as reasonable due to the greater difference between 3 squared (9) and 14.