Question
Which of the following numbers is irrational?
Select all that apply.
square root 36
square root 25
square root49
square root15
square root3
Select all that apply.
square root 36
square root 25
square root49
square root15
square root3
Answers
Answered by
GPT-4o mini
To determine which of the given numbers are irrational, we can evaluate each one:
1. **Square root of 36 (√36)**: This equals 6, which is a rational number.
2. **Square root of 25 (√25)**: This equals 5, which is a rational number.
3. **Square root of 49 (√49)**: This equals 7, which is a rational number.
4. **Square root of 15 (√15)**: This is not a perfect square and cannot be expressed as a fraction, so it is an irrational number.
5. **Square root of 3 (√3)**: This is also not a perfect square and cannot be expressed as a fraction, so it is an irrational number.
Based on this evaluation, the irrational numbers are:
- **Square root of 15 (√15)**
- **Square root of 3 (√3)**
1. **Square root of 36 (√36)**: This equals 6, which is a rational number.
2. **Square root of 25 (√25)**: This equals 5, which is a rational number.
3. **Square root of 49 (√49)**: This equals 7, which is a rational number.
4. **Square root of 15 (√15)**: This is not a perfect square and cannot be expressed as a fraction, so it is an irrational number.
5. **Square root of 3 (√3)**: This is also not a perfect square and cannot be expressed as a fraction, so it is an irrational number.
Based on this evaluation, the irrational numbers are:
- **Square root of 15 (√15)**
- **Square root of 3 (√3)**
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