To determine the truth of these statements, we can evaluate each one:
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Square root of 49 is less than seven: \[ \sqrt{49} = 7 \] This statement is false because \(\sqrt{49}\) is equal to 7, not less than.
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Square root of 48 is less than square root of 36: \[ \sqrt{48} \approx 6.928 \quad \text{and} \quad \sqrt{36} = 6 \] This statement is also false because \(\sqrt{48}\) is approximately 6.928, which is greater than 6.
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Square root of 49 is greater than seven: As mentioned, \(\sqrt{49} = 7\), so this statement is false.
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Square root of 48 is greater than square root of 36: \[ \sqrt{48} \approx 6.928 \quad \text{and} \quad \sqrt{36} = 6 \] This statement is true because \(\sqrt{48} \approx 6.928\) is indeed greater than 6.
Therefore, the true statement among the given options is:
Square root of 48 is greater than square root of 36.