Question

Which numbers are both integers and irrational numbers?(1 point)
Responses

square roots of integers
square roots of integers

negative integers
negative integers

none
none

zero

Answer 1

The correct answer is "none."

By definition, integers are whole numbers (which can be positive, negative, or zero), while irrational numbers cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal expansions. Since integers cannot be irrational, the set of numbers that are both integers and irrational does not exist.