To evaluate which statement is true using rational approximations, let's approximate the values:
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For \( \sqrt{49} < 7 \):
- We know \( \sqrt{49} = 7 \). Thus, this statement is false.
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For \( \sqrt{48} < \sqrt{36} \):
- \( \sqrt{48} \) is approximately \( 6.93 \) and \( \sqrt{36} = 6 \).
- So \( \sqrt{48} > \sqrt{36} \), making this statement also false.
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For \( \sqrt{49} > 7 \):
- We already established that \( \sqrt{49} = 7 \). Thus, this statement is false.
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For \( \sqrt{48} > \sqrt{36} \):
- As calculated earlier, \( \sqrt{48} \approx 6.93 \) and \( \sqrt{36} = 6 \), thus \( \sqrt{48} > \sqrt{36} \) is true.
In conclusion, the true statement is:
\( \sqrt{48} > \sqrt{36} \).