To determine the type of number resulting from the operation \( 3.4059... - 85 \), we need to analyze the numbers involved.
- \( 3.4059... \) is a decimal that appears to be a repeating (or non-terminating) decimal, which suggests it may be an irrational number. However, we need to clarify: if it continues forever without repeating, then it would indeed be an irrational number. But if it is a rational number (which usually has repeating decimals), we could treat it as rational.
- \( 85 \) is a whole number, which is clearly a rational number.
Now, let's examine the operation:
- If \( 3.4059... \) is rational, then subtracting 85 (another rational number) from it will yield another rational number.
- If \( 3.4059... \) is irrational, subtracting 85 (rational) from it will result in an irrational number.
Given that repeating decimals are usually rational (like \( \frac{34}{10} \) as an example), it is more reasonable to classify \( 3.4059... \) as rational in this context, making the operation: \[ \text{Rational number} - \text{Rational number} = \text{Rational number} \]
Hence, the correct response is:
Rational, because both numbers are rational.