Question

Question

Classify the number as natural, whole, integer, rational, and/or irrational.

Select all terms that are correct.

Natural Whole Integer Rational Irrational
7√

Answer 1

The number $7\sqrt{}$ seems to be missing an expression under the square root. Assuming you meant $\sqrt{7}$, here is the classification:

1. Natural: No, because natural numbers are positive integers (1, 2, 3, ...), and $\sqrt{7}$ is not an integer.
2. Whole: No, because whole numbers are non-negative integers (0, 1, 2, ...), and $\sqrt{7}$ is not an integer.
3. Integer: No, because integers include all whole numbers and their negatives, and $\sqrt{7}$ is not an integer.
4. Rational: No, because rational numbers can be expressed as a fraction of two integers, and $\sqrt{7}$ cannot be expressed that way.
5. Irrational: Yes, because $\sqrt{7}$ cannot be expressed as a fraction of two integers, making it an irrational number.

Thus, the correct classification for $\sqrt{7}$ is Irrational. If you meant something else with $7\sqrt{}$, please clarify.