The graph organizer shows the relationship between sets of real numbers. The whole square represents real numbers.
Set A should be all rational numbers
Set B should be all integers
The set C should be whole numbers.
The set D should be all natural numbers.
At last, Set E should be all irrational numbers because they are not related to rationals, integers, or natural numbers.
Having said that, we can answer each question.
For 8, choice a is not an integer since it can be represented only as a fraction.
For 9, choice d is represented by E since it's an irrational number.
![\sqrt[]{72}=8.485281374238\ldots](https://img.qammunity.org/2023/formulas/mathematics/college/l3yht8lqwygpvxz07ufmjzf200ifz8jmm9.png)
For 10, choice c is the number that belongs to A, B, C, and D because the square root of 9 is 3.
![\sqrt[]{9}=3](https://img.qammunity.org/2023/formulas/mathematics/college/rpd8jf6ioutp6tb2vt3durc4t2uwcflifo.png)
As a natural number, it belongs to all sets except to set E.