To evaluate the given statements and determine which one is true using rational approximations, let's compute the approximate values of the square roots:
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For \( \sqrt{36} \):
- \( \sqrt{36} = 6 \)
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For \( \sqrt{49} \):
- \( \sqrt{49} = 7 \)
Next, we can check each statement:
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48 > \( \sqrt{36} \)
- \( 48 > 6 \) is true.
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\( \sqrt{49} < 7 \)
- \( 7 < 7 \) is false.
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48 < \( \sqrt{36} \)
- \( 48 < 6 \) is false.
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\( \sqrt{49} > 7 \)
- \( 7 > 7 \) is false.
From these computations, the only statement that is true is:
48 > \( \sqrt{36} \).