To analyze the statements using rational approximations, we can evaluate the square roots:
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\( \sqrt{48} < \sqrt{36} \): This is false because \( \sqrt{48} \approx 6.93 \) and \( \sqrt{36} = 6 \).
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\( \sqrt{49} < 7 \): This is false because \( \sqrt{49} = 7 \).
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\( \sqrt{48} > \sqrt{36} \): This is true because as noted earlier, \( \sqrt{48} \approx 6.93 \) and \( \sqrt{36} = 6 \), so \( 6.93 > 6 \).
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\( \sqrt{49} > 7 \): This is false because \( \sqrt{49} = 7 \).
Therefore, the true statement is:
\( \sqrt{48} > \sqrt{36} \).