For Problems $$ 6-8 $$, answer the question and complete the statement. 6. Is $$ \sqrt{14} $$ between 3.0 and 3.5 or 3.5 and 4.0 ?

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To determine whether $$ \sqrt{14} $$ is between 3.0 and 3.5 or between 3.5 and 4.0, we can calculate the square of the numbers in these ranges and compare them to 14.

1. Calculate $$ 3.0^2 $$ and $$ 3.5^2 $$:
   $$
   3.0^2 = 9.0
   $$
   $$
   3.5^2 = 12.25
   $$

2. Calculate $$ 3.5^2 $$ and $$ 4.0^2 $$:
   $$
   4.0^2 = 16.0
   $$

Now we can summarize the results:
- $$ 3.0^2 = 9.0 < 14 $$
- $$ 3.5^2 = 12.25 < 14 $$
- $$ 4.0^2 = 16.0 > 14 $$

Since $$ 14 $$ is greater than $$ 12.25 $$ and less than $$ 16.0 $$, we conclude that:

$$
\sqrt{14} \text{ is between } 3.5 \text{ and } 4.0.
$$

Thus, the complete statement is:

**$$ \sqrt{14} $$ is between 3.5 and 4.0.**
$$ \sqrt{14} $$ is between 3.5 and 4.0.

For Problems \( 6-8 \), answer the question and complete the statement. 6. Is \( \sqrt{14} \) between 3.0 and 3.5 or 3.5 and 4.0 ?

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