Using rational approximations, what statement is true?(1 point) Responses 49−−√>7 start root 49 end root greater than 7 48−−√>36−−√ start root 48 end root greater than start root 36 end root 48−−√<36−−√ start root 48 end root less than start root 36 end root 49−−√<7

Answer 1

To determine the truth of the statements involving square roots, we can simplify and evaluate each expression.

1. \(\sqrt{49} > 7\): This is false. \(\sqrt{49} = 7\).

2. \(\sqrt{48} > \sqrt{36}\): We know that \(\sqrt{36} = 6\) and \(\sqrt{48}\) is approximately \(6.928\). Therefore, this statement is true, since \(6.928 > 6\).

3. \(\sqrt{48} < \sqrt{36}\): This is false, as established above.

4. \(\sqrt{49} < 7\): This is also false, as \(\sqrt{49} = 7\).

The only true statement is \(\sqrt{48} > \sqrt{36}\).