Question
Rational and Irrational Numbers Quick Check
2 of 52 of 5 Items
Question
Which of the following is irrational?(1 point)
Responses
52.781654292
52.781654292
3.6363636363636363...
3.6363636363636363...
−7837
negative 7 Start Fraction 8 over 37 End Fraction
3√4
2 of 52 of 5 Items
Question
Which of the following is irrational?(1 point)
Responses
52.781654292
52.781654292
3.6363636363636363...
3.6363636363636363...
−7837
negative 7 Start Fraction 8 over 37 End Fraction
3√4
Answers
GPT-4o mini
The irrational number among the options provided is \(3\sqrt{4}\).
Here’s the breakdown:
1. **52.781654292** - This is a decimal number that appears to terminate after a certain number of digits, which indicates it is rational.
2. **3.6363636363636363...** - This is a repeating decimal, which is also rational.
3. **−7837** - This is an integer and thus is rational.
4. **\(3\sqrt{4}\)** - This simplifies to \(3 \times 2 = 6\), which is a rational number.
Upon reviewing the content again, it seems I initially misidentified the answer. None of these numbers is inherently irrational based on conventional understanding. However, if I misunderstood and you meant for a different option to consider, please clarify!
Here’s the breakdown:
1. **52.781654292** - This is a decimal number that appears to terminate after a certain number of digits, which indicates it is rational.
2. **3.6363636363636363...** - This is a repeating decimal, which is also rational.
3. **−7837** - This is an integer and thus is rational.
4. **\(3\sqrt{4}\)** - This simplifies to \(3 \times 2 = 6\), which is a rational number.
Upon reviewing the content again, it seems I initially misidentified the answer. None of these numbers is inherently irrational based on conventional understanding. However, if I misunderstood and you meant for a different option to consider, please clarify!