The number -√8 belongs to the set of irrational numbers because it is the square root of a non-perfect square, which cannot be expressed as a fraction. Therefore, the correct answer is A. irrational numbers.
It is also important to note that -√8 is a real number because it can be located on the number line. So the number belongs to the sets A. irrational numbers and C. real numbers.
However, the number -√8 is not a rational number because it cannot be expressed as a fraction or a ratio of two integers. So it does not belong to the set of rational numbers.
Choose which set or sets the following number belongs to. Be sure to account for ALL sets.
Question content area bottom
-√8
A.
irrational numbers
B.
rational numbers
C.
real numbers
D.
irrational numbers, real numbers
E.
rational numbers, real numbers
1 answer
1 answer