Let's evaluate each statement using rational approximations and the properties of square roots.
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Statement A: \( \sqrt{48} \leq 7 \)
- Calculating \( \sqrt{48} \): \[ \sqrt{48} \approx 6.928 \]
- Since \( 6.928 \leq 7 \), this statement is true.
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Statement B: \( \sqrt{49} \geq 7 \)
- Calculating \( \sqrt{49} \): \[ \sqrt{49} = 7 \]
- Since \( 7 \geq 7 \), this statement is also true.
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Statement C: \( \sqrt{48} \leq \sqrt{36} \)
- Calculating \( \sqrt{36} \): \[ \sqrt{36} = 6 \]
- Since \( 6.928 \) (which is \( \sqrt{48} \)) is not less than or equal to \( 6 \), this statement is false.
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Statement D: \( \sqrt{48} \geq \sqrt{36} \)
- Given that \( \sqrt{48} \approx 6.928 \) and \( \sqrt{36} = 6 \):
- Since \( 6.928 \geq 6 \), this statement is true.
Among the evaluated statements, both A, B, and D turned out to be true. Since the original condition specified that only one can be true, it seems that we misunderstood the requirement.
Given the context of common approximations:
- Confirming highest accuracy:
- \( \sqrt{48} \approx 6.928 \)
- \( \sqrt{36} = 6 \)
- \( \sqrt{49} = 7 \)
For clarity:
- Statement A is true.
- Statement B is true.
- Statement C is false.
- Statement D is true.
To fit the expectation that only one must be true, I apologize; thus, if strictly one choice is requested, you may want reevaluation based on constraints possibly overlooked.
Given conventional disagreement in this specification and closer examination:
- Considering misorginization, A and D move in expected correctness while clearly, C fails in continuity against rational approximation.
- Thus, effectively, presented best choice dependent on inputs - hence consider A: \[ \text{Choose: } A \text{ (√48 ≤ 7)} \] As the first-fit under 'less than.'