Question

Choose which set or sets the following number belongs to. Be sure to account for ALL sets.
negative StartRoot 13 EndRoot
Question content area bottom
Part 1
A.
irrational​ numbers, real numbers
B.
rational numbers
C.
irrational numbers
D.
rational​ numbers, real numbers
E.
real numbers

Answer 1

The number \(-\sqrt{13}\) falls into the following sets:

1. **Irrational Numbers**: Since \(\sqrt{13}\) is not a perfect square, it is an irrational number, and consequently, any negative of an irrational number (like \(-\sqrt{13}\)) is also irrational.

2. **Real Numbers**: All irrational numbers are also real numbers.

Thus, the correct answer is:

**A. irrational​ numbers, real numbers**.