A rational number is any number that can be expressed as a fraction \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q \neq 0\). Let's evaluate each option:
A. 194.265 - This is a decimal number that can be expressed as \(\frac{194265}{1000}\), so it is a rational number.
B. √289 - This equals 17, which can be written as \(\frac{17}{1}\), so it is a rational number.
C. π - The number π (pi) is an irrational number; it cannot be expressed as a fraction of two integers.
D. 765.4 - This can be expressed as \(\frac{7654}{10}\), so it is a rational number.
In summary, the rational numbers from the list are:
- A. 194.265
- B. √289
- D. 765.4
Thus, options A, B, and D are rational numbers.