Question

complete the statement using <, >, or =
3π
√28

Explanation:

Step1: Approximate \(3\pi\)

We know that \(\pi\approx3.14\), so \(3\pi = 3\times3.14 = 9.42\).

Step2: Approximate \(\sqrt{28}\)

We know that \(\sqrt{25}=5\) and \(\sqrt{36}=6\), and \(25<28<36\), so \(\sqrt{25}<\sqrt{28}<\sqrt{36}\), that is \(5 < \sqrt{28}<6\).

Step3: Compare the two values

Since \(9.42>6\) (and \(\sqrt{28}<6\)), we have \(3\pi>\sqrt{28}\).

Answer:

\(3\pi > \sqrt{28}\)