Using rational approximations, what statement is true?(1 point)

Question

Responses

3<9–√
3 less than start root 9 end root

π>9–√
pi greater than start root 9 end root

3>9–√
3 greater than start root 9 end root

π<9–√

Answer 1

To determine which statement is true involving \( \sqrt{9} \), let's compute \( \sqrt{9} \):

\[ \sqrt{9} = 3 \]

Now we can evaluate the options given:

1. \( 3 < \sqrt{9} \):

   • This statement is false since \( 3 \) is equal to \( \sqrt{9} \).

2. \( \pi > \sqrt{9} \):

   • Since \( \pi \approx 3.14 \), this statement is true because \( \pi \) is indeed greater than \( 3 \).

3. \( 3 > \sqrt{9} \):

   • This statement is false since they are equal.

4. \( \pi < \sqrt{9} \):

   • This statement is false because \( \pi \) is greater than \( \sqrt{9} \).

Therefore, the correct statement is:

\(\pi > \sqrt{9}\)