To determine which statements about the square roots are true, let's evaluate each one:
-
\(\sqrt{48} > \sqrt{36}\):
- \(\sqrt{36} = 6\)
- \(\sqrt{48} \approx 6.93\) (since \(48\) is between \(36\) and \(64\))
- This statement is true.
-
\(\sqrt{48} < \sqrt{36}\):
- This is the opposite of the first statement, which we found to be true, so this is false.
-
\(\sqrt{49} < 7\):
- \(\sqrt{49} = 7\)
- Therefore, this statement is false.
-
\(\sqrt{49} > 7\):
- Similarly, this is the opposite of the third statement, so this is also false.
Based on this evaluation, the true statement is:
\(\sqrt{48} > \sqrt{36}\).