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4/9 a rational number, irrational number, whole number, integer, or natural number?

4/9 is a rational number.

√4 a rational number, irrational number, whole number, integer, or natural number?

√4 is a rational number.

8 a rational number, irrational number, whole number, integer, or natural number?

-8 is an integer and a rational number.

\overline\8 a rational number, irrational number, whole number, integer, or natural number?

I'm sorry, but I'm not sure what you mean by "\overline\8". Could you please provide more information or clarify your question?

\overline\ 8 a rational number, irrational number, whole number, integer, or natural number?

I apologize for the previous confusion. If "\overline\ 8" is meant to symbolize the repeating decimal 8.888..., then it is a rational number, as it can be expressed as a fraction. Specifically, it is equal to the fraction 8/9. So, "\overline\ 8" is a rational number.

(overline) 8 a rational number, irrational number, whole number, integer, or natural number?

The number (overline) 8, which represents the repeating decimal 8.888..., is a rational number because it can be expressed as a fraction. Specifically, it is equal to 8/9. Therefore, (overline) 8 is a rational number.

√8 a rational number, irrational number, whole number, integer, or natural number?

√8 is an irrational number because the square root of 8 cannot be expressed as a fraction or a terminating or repeating decimal.

(overline) 2.89 a rational number, irrational number, whole number, integer, or natural number?

The number (overline) 2.89 is a rational number because it can be expressed as a fraction. However, without further clarification, it is difficult to determine the exact fraction equivalent.