Let's evaluate each expression to determine whether it is rational or irrational.
-
\( 23 \times 5 - \sqrt{} \)
Without the complete expression (the square root part), it's difficult to classify. If we assume it means \( 23 \times 5 \) (which equals 115) minus some rational number, the answer will depend on that square root. If it’s a rational number, the whole result is rational. Without clearer details, we can't classify this. -
\( 0.5 \)
This is a rational number (it can be expressed as \( \frac{1}{2} \)). -
\( 7\pi \)
This is irrational, as \( \pi \) itself is an irrational number, and multiplying it by a non-zero rational number (7) keeps it irrational. -
\( \sqrt{49} \)
This is rational, as \( \sqrt{49} = 7 \), which is a whole number. -
\( 0.5 + 34 \)
This is rational. \( 0.5 \) is rational, and \( 34 \) is also rational, and the sum of two rational numbers is rational. -
\( 3.5 \times 4.3 \)
This is rational, as both \( 3.5 \) and \( 4.3 \) are rational numbers, and the product of rational numbers is rational. -
\( \sqrt{2} \)
This is irrational, as \( \sqrt{2} \) is a famous example of an irrational number. -
\( \sqrt{3} + 25 \)
This is irrational. \( \sqrt{3} \) is irrational, and adding it to a rational number (25) keeps it irrational. -
\( 2\pi + 7 \)
This is irrational, as \( 2\pi \) is irrational, and adding a rational number (7) keeps it irrational.
To summarize:
| Expression | Type | |------------------------------|------------| | \( 23 \times 5 - \sqrt{} \) | Unknown | | \( 0.5 \) | Rational | | \( 7\pi \) | Irrational | | \( \sqrt{49} \) | Rational | | \( 0.5 + 34 \) | Rational | | \( 3.5 \times 4.3 \) | Rational | | \( \sqrt{2} \) | Irrational | | \( \sqrt{3} + 25 \) | Irrational | | \( 2\pi + 7 \) | Irrational |
Feel free to let me know if you need further clarification!