For the number √√34:
a. Real and irrational
The number √√34 belongs to the set of real numbers because it is a valid number on the number line. It is also considered irrational because it cannot be expressed as a fraction of two integers.
For the number -35:
b. Real, rational, and integer
The number -35 belongs to the set of real numbers because it is a valid number on the number line. It is also a rational number because it can be expressed as a fraction, in this case, -35/1. Additionally, it is an integer because it is a whole number that can be positive, negative, or zero.
For the number 7:
c. Real, rational, integer, and whole
The number 7 belongs to the set of real numbers because it is a valid number on the number line. It is also a rational number because it can be expressed as a fraction, in this case, 7/1. Furthermore, it is an integer because it is a whole number that can be positive, negative, or zero. Additionally, it is considered a whole number since it does not contain any fractional or decimal parts.
In summary:
- √√34 belongs to the set of real and irrational numbers.
- -35 belongs to the set of real, rational, and integer numbers.
- 7 belongs to the set of real, rational, integer, and whole numbers.