A rational number is a number that can be expressed as the fraction of two integers (a/b), where \( b \) is not zero.
Let's analyze the options:
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0.23242526... - This is a non-repeating decimal, which means it cannot be expressed as a fraction of integers. Therefore, it is not rational.
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0.98989898... - This is a repeating decimal (0.98 repeating), which can be expressed as the fraction \(\frac{98}{99}\). Therefore, it is rational.
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2√4 - The square root of 4 is 2, so \( 2\sqrt{4} = 2 \times 2 = 4\). Here, 4 is an integer and rational.
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15−−√ - The square root of 15 cannot be expressed as a fraction of two integers, as it is an irrational number.
Among the choices, both 0.98989898... and 2√4 (which equals 4) are rational. However, if you are asked to choose one, you can choose either, but focusing on the simplest expression available, 2√4 = 4 might be clearer as it's a whole number.
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