Using rational approximations, what statement is true?(1 point) Responses 3>9–√ 3 is greater than square root of 9 π<9–√ π<9–√ π>9–√ pi is greater than square root of 9 3<9–√

1 answer

To determine the truth of the given statements, we can calculate the approximate values of \(\sqrt{9}\) and \(\pi\).

  1. \(\sqrt{9} = 3\)
  2. The approximate value of \(\pi\) is about \(3.14\).

Now we can analyze each statement:

  1. \(3 > \sqrt{9}\): This is false because \(3 = \sqrt{9}\).
  2. \(\pi < \sqrt{9}\): This is false because \(\pi \approx 3.14\) is greater than \(3\).
  3. \(\pi > \sqrt{9}\): This is true because \(3.14 > 3\).
  4. \(3 < \sqrt{9}\): This is false because \(3 = \sqrt{9}\).

Therefore, the true statement is:

\(\pi > \sqrt{9}\) (which can be stated as \(\pi > 3\)).