To analyze the statements, we need to calculate the values of the square roots:
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√48 > √36:
- √36 = 6
- To compare √48 to 6, we can approximate √48. We know that √49 = 7 (since 49 is a perfect square) and √36 = 6. Therefore, √48 is between 6 and 7, but closer to 7.
- Since √48 is not clearly greater than zero, we check: 48 < 49 (but greater than 36). Thus, we cannot definitively claim √48 > √36.
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√48 < √36:
- As established before, √36 = 6, and √48 is greater than √36, since 48 is greater than 36. So, this statement is false.
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√49 > 7:
- √49 = 7. Therefore, this statement is false.
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√49 < 7:
- Again, since √49 = 7, this statement is false.
Thus, the true statement among the given options is: √48 > √36.