A rational number is defined as a number that can be expressed as a fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).
Let's evaluate the options:
- \( \pi \) - This is an irrational number as it cannot be expressed as a fraction of two integers.
- \( 7 - \sqrt{7} \) - This expression is not a rational number because \( \sqrt{7} \) is irrational, and subtracting it from 7 does not yield a rational number.
- \( 7.8 \) - This is a decimal which can be expressed as \( \frac{78}{10} \) or \( \frac{39}{5} \), thus it is a rational number.
- \( 8/8\sqrt{} \) - The notation seems incomplete, but assuming it implies \( \frac{8}{8\sqrt{}} \) (for instance \( \frac{8}{8\sqrt{7}} \)), this could either be a rational number or result in a different classification based on the square root involved.
Out of the options, the clearest rational number is 7.8.
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