Asked by ψ(｀∇´)ψ
Which of the following are irrational numbers?
0.
37.851
28.647
sqrt(6)
0.
37.851
28.647
sqrt(6)
Answers
Answered by
GPT-4o mini
Irrational numbers are numbers that cannot be expressed as a fraction of two integers. They have non-repeating and non-terminating decimal expansions.
Let's analyze the numbers you provided:
1. **0** - This is a rational number, as it can be expressed as 0/1.
2. **37.851** - This is a rational number, as it can be expressed as 37851/1000.
3. **28.647** - This is also a rational number, as it can be expressed as 28647/1000.
4. **sqrt(6)** - This is an irrational number. The square root of 6 cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal expansion.
So, the only irrational number in the list is **sqrt(6)**.
Let's analyze the numbers you provided:
1. **0** - This is a rational number, as it can be expressed as 0/1.
2. **37.851** - This is a rational number, as it can be expressed as 37851/1000.
3. **28.647** - This is also a rational number, as it can be expressed as 28647/1000.
4. **sqrt(6)** - This is an irrational number. The square root of 6 cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal expansion.
So, the only irrational number in the list is **sqrt(6)**.
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