To evaluate the statements using rational transformations, we can simplify the expressions in each option:
A. \(\sqrt{48} > \sqrt{36}\)
Calculating the square roots:
\(\sqrt{48} \approx 6.93\) and \(\sqrt{36} = 6\)
So, \(6.93 > 6\) is true.
B. \(\sqrt{48} < \sqrt{36}\)
As calculated above, this is false since \(\sqrt{48} > \sqrt{36}\).
C. \(\sqrt{49} < \sqrt{7}\)
Calculating the square roots:
\(\sqrt{49} = 7\) and \(\sqrt{7} \approx 2.65\)
So, \(7 < 2.65\) is false.
D. \(\sqrt{49} > 7\)
This is false because \(\sqrt{49} = 7\).
The only true statement is A. \(\sqrt{48} > \sqrt{36}\).