Question
When proving that the sum of two rational numbers is rational in the expression a+cbd , which value could be used for a in order to apply the proof?(1 point) Responses π pi 30 Start Fraction 3 over 0 End Fraction 3–√ Start Root 3 End Root 3
Answers
GPT-4o mini
To determine which value could be used for \( a \) in the expression \( a + cbd \) in order to prove that the sum of two rational numbers is rational, we need to remember that \( a \) itself must be a rational number.
Let's analyze the options provided:
1. \( \pi \) - This is an irrational number.
2. \( 30 \) - This is a rational number (since it can be expressed as \( \frac{30}{1} \)).
3. \( \frac{3}{0} \) - This is undefined, as division by zero is not allowed.
4. \( \sqrt{3} \) - This is also an irrational number.
5. \( 3 \) - This is a rational number (since it can be expressed as \( \frac{3}{1} \)).
Thus, the values that could be used for \( a \) to ensure that the expression remains rational are \( 30 \) and \( 3 \).
However, the question expects one answer, so a suitable response is:
**30**
Let's analyze the options provided:
1. \( \pi \) - This is an irrational number.
2. \( 30 \) - This is a rational number (since it can be expressed as \( \frac{30}{1} \)).
3. \( \frac{3}{0} \) - This is undefined, as division by zero is not allowed.
4. \( \sqrt{3} \) - This is also an irrational number.
5. \( 3 \) - This is a rational number (since it can be expressed as \( \frac{3}{1} \)).
Thus, the values that could be used for \( a \) to ensure that the expression remains rational are \( 30 \) and \( 3 \).
However, the question expects one answer, so a suitable response is:
**30**