If x is a positive integer, what is the value of \sqrt{x+24} - \sqrt{x} ?
(1) \sqrt{x} is an integer.
(2) \sqrt{x+24} is an integer.
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AStatement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
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BStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
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CBOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
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DEACH statement ALONE is sufficient.
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EStatements (1) and (2) TOGETHER are NOT sufficient.