A rational number is any number that can be expressed as the quotient or fraction of two integers (where the denominator is not zero).
Now let's analyze each option:
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√2/4: √2 is an irrational number. Dividing an irrational number by a rational number (4) results in an irrational number. So, √2/4 is irrational.
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0.98989898...: This is a repeating decimal (0.98 with "98" repeating). Repeating decimals are rational numbers because they can be expressed as fractions. Therefore, this number is rational.
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√15: Similar to √2, √15 is also an irrational number. So, it is not rational.
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0.23242526...: This number does not show a repeating pattern, indicating it is a non-repeating decimal. Non-repeating decimals are irrational numbers. Therefore, this number is also not rational.
From the analysis, the only rational number among the options is 0.98989898....