Which of the following are irrational numbers?

Question

0.
37.851
28.647
sqrt(6)

Answer 1

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).