Identify the most specific set to which each of the following numbers belongs:(5 points)

Question

Put responses in the correct input to answer the question.
47−−√
144−−−√
0
0.121212...
-9

Answer 1

Let's categorize each number into the most specific set:

1. √47: This number is an irrational number (it cannot be expressed as a fraction and is not a perfect square).

2. √144: This is equal to 12, which is a whole number (and also a natural number since it is positive).

3. 0: This number fits in the set of integers (and it is also a whole number, but "integers" is a more specific category).

4. 0.121212...: This is a rational number (it can be expressed as a fraction, specifically 12/99 or 4/33).

5. -9: This number is an integer (and also a whole number if considering non-negative integers, but it's most specifically categorized as an integer).

So, the complete categorization would be:

1. √47: Irrational
2. √144: Whole
3. 0: Integer
4. 0.121212...: Rational
5. -9: Integer

Let me know if you need further assistance!