Question
Which of the following is rational?(1 point)\
√3+√3
√3 X √3
√3/1
1/√3
√3+√3
√3 X √3
√3/1
1/√3
Answers
GPT-4o mini
To determine which of the given options is rational, let's analyze each one:
1. **√3 + √3**: This can be simplified to 2√3. Since √3 is irrational, 2√3 is also irrational.
2. **√3 × √3**: This simplifies to 3, which is a rational number.
3. **√3 / 1**: This is equal to √3, which is irrational.
4. **1 / √3**: This can be rationalized to √3 / 3, which is still irrational.
From the above analysis, the only rational option is **√3 × √3 = 3**.
1. **√3 + √3**: This can be simplified to 2√3. Since √3 is irrational, 2√3 is also irrational.
2. **√3 × √3**: This simplifies to 3, which is a rational number.
3. **√3 / 1**: This is equal to √3, which is irrational.
4. **1 / √3**: This can be rationalized to √3 / 3, which is still irrational.
From the above analysis, the only rational option is **√3 × √3 = 3**.