A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero. Let's analyze the options provided:
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2√/4 - This can be simplified to \(\frac{\sqrt{2}}{2}\) which is irrational since \(\sqrt{2}\) is not a rational number.
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0.23242526... - This is a non-repeating, non-terminating decimal, making it irrational.
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0.98989898... - This is a repeating decimal which can be expressed as the fraction \(\frac{98}{99}\), making it rational.
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15−−√ - This is the square root of 15, which is not a perfect square, thus making it irrational.
The rational number among these options is 0.98989898....
2 answers