Identify the most specific set to which each of the following numbers belongs

144−−−√

0.121212...

47−−√

0

-9

Rational number,

irrational number

whole number

integer

natural number

1 answer

144−−−√: This number is a positive square root, so it belongs to the set of positive irrational numbers.

0.121212...: This number is a repeating decimal, so it belongs to the set of rational numbers.

47−−√: This number is a positive square root, so it belongs to the set of positive irrational numbers.

0: This number is a whole number since it is an integer with no fractional part.

-9: This number is an integer since it is a whole number along with its negative counterpart.

Thus, the most specific set to which each number belongs is:

144−−−√: Positive irrational number
0.121212...: Rational number
47−−√: Positive irrational number
0: Whole number
-9: Integer