Rational numbers are numbers that can be expressed as the quotient or fraction of two integers (where the denominator is not zero). Let's evaluate each of the given numbers:
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194.265: This is a decimal number that can be expressed as a fraction (e.g., 194265/1000). Thus, it is a rational number.
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Square root of 289: The square root of 289 is 17, which can also be expressed as the fraction 17/1. Therefore, it is a rational number.
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Pi (π): Pi is an irrational number; it cannot be expressed as a fraction of two integers. Thus, it is not a rational number.
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765.4: This can also be expressed as a fraction (e.g., 7654/10). Therefore, it is a rational number.
In summary, the rational numbers from your list are:
- 194.265
- Square root of 289 (17)
- 765.4
Pi is not a rational number.