Question
What type of number will result from the expression square root of 19 - 3/2 an integer and irrational number a whole number or a rational number
Answers
GPT-4o mini
To evaluate the expression \( \sqrt{19} - \frac{3}{2} \), we will determine the types of numbers involved in the result.
1. **Evaluate \( \sqrt{19} \)**:
- The square root of 19 is an irrational number because 19 is not a perfect square.
2. **Evaluate \( \frac{3}{2} \)**:
- This is a rational number because it can be expressed as the fraction of two integers (3 and 2).
3. **Subtract \( \frac{3}{2} \) from \( \sqrt{19} \)**:
- The result of subtracting a rational number from an irrational number is always an irrational number.
Therefore, the expression \( \sqrt{19} - \frac{3}{2} \) will result in an **irrational number**.
1. **Evaluate \( \sqrt{19} \)**:
- The square root of 19 is an irrational number because 19 is not a perfect square.
2. **Evaluate \( \frac{3}{2} \)**:
- This is a rational number because it can be expressed as the fraction of two integers (3 and 2).
3. **Subtract \( \frac{3}{2} \) from \( \sqrt{19} \)**:
- The result of subtracting a rational number from an irrational number is always an irrational number.
Therefore, the expression \( \sqrt{19} - \frac{3}{2} \) will result in an **irrational number**.