Answer:
SOLUTION: Explain why the square root of 25 belongs to 4 subsets of the real numbers , but the square root of 5 only belongs to 1 . tell which subsets each belong to and why .
Explanation:
The square root of 25 is 5, which
1. A rational number, since 5 is the ratio of the two integers 5 and 1.
2. An integer since 5 is an element of {...,-3,-2,-1,0,1,2,3,.}
3. A whole number, since 5 is an element of {0,1,2,3.}
4. A counting number, since 5 is an element of {1,2,3,}
The square root of 5 is only
1. An irrational number, since it is not the ratio of any two integers.
[It can only be approximated by
this nonrepeating infinite decimal, it goes on forever:
2.2360679774997896964091736687312762354406183596115257...]