To which subset of real numbers does the following number belong? √8 -rational numbers
-irrational numbers
-whole numbers, integers, rational numbers
-whole numbers, natural numbers, integers
The number √8 belongs to the subset of irrational numbers.
To determine the subset of real numbers to which the number √8 belongs, we need to consider whether it is rational or irrational.
The number √8 can be simplified as follows:
√8 = √(4 * 2) = √4 * √2 = 2 * √2
Since the √2 part cannot be expressed as a fraction of two integers, it is an irrational number.
Therefore, the number √8 belongs to the subset of irrational numbers.