When we calculate \( 17^2 \), we get:
\[ 17^2 = 289 \]
Now, let's classify the number 289 based on the specified categories:
- Natural Numbers: Yes, 289 is a natural number since it is a positive integer.
- Whole Numbers: Yes, 289 is a whole number since all natural numbers are also whole numbers.
- Integers: Yes, 289 is an integer as it is a whole number and does not have any fractional part.
- Rational Numbers: Yes, 289 is a rational number because it can be expressed as a fraction (e.g., \( \frac{289}{1} \)).
- Irrational Numbers: No, 289 is not an irrational number since it can be expressed as a fraction and is not a non-repeating, non-terminating decimal.
In summary:
- Natural: Yes
- Whole: Yes
- Integer: Yes
- Rational: Yes
- Irrational: No
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