To which subset of real numbers does the following number belong?
Sqrt 7
(1 point)
Responses rational numbers rational numbers irrational numbers irrational numbers whole numbers, integers, rational numbers whole numbers, integers, rational numbers whole numbers, natural numbers, integers
Sqrt 7 belongs to the subset of irrational numbers.
The number √7 belongs to the subset of real numbers known as "irrational numbers."
To determine which subset of real numbers the number sqrt(7) belongs to, we need to consider whether the number is rational or irrational.
1. Rational Numbers: Rational numbers are numbers that can be expressed as a fraction of two integers. For example, 3/4, -2/5, and 10 are rational numbers.
2. Irrational Numbers: Irrational numbers are numbers that cannot be expressed as a fraction of two integers. They include numbers such as pi (π), e, and the square root of 2 (√2).
In this case, since the number sqrt(7) cannot be expressed as a fraction of two integers, it belongs to the subset of irrational numbers. Therefore, the correct response is "irrational numbers."