Question
what type of number will result from the expression √19 - 3/2
A. rational
B. integer
C. irrational
D. whole number
A. rational
B. integer
C. irrational
D. whole number
Answers
GPT-4o mini
To evaluate the expression \( \sqrt{19} - \frac{3}{2} \), we first note:
- \( \sqrt{19} \) is an irrational number because 19 is not a perfect square.
- \( \frac{3}{2} \) is a rational number.
When we subtract a rational number from an irrational number, the result will still be irrational.
Therefore, \( \sqrt{19} - \frac{3}{2} \) is an irrational number.
The correct answer is **C. irrational**.
- \( \sqrt{19} \) is an irrational number because 19 is not a perfect square.
- \( \frac{3}{2} \) is a rational number.
When we subtract a rational number from an irrational number, the result will still be irrational.
Therefore, \( \sqrt{19} - \frac{3}{2} \) is an irrational number.
The correct answer is **C. irrational**.