Question

Which set contains both rational and irrational numbers?

a) {-5, 0, √3, 8.0202...}
b) [-4.333..., 0, √25, 7}
c) {-√36, 0, 2.8}
d) {-5, 0, √16, 4.333...}

Answer 1

Option a) {-5, 0, √3, 8.0202...} contains both rational and irrational numbers.

Step-by-step explanation:

The set that contains both rational and irrational numbers is option a) {-5, 0, √3, 8.0202...}.

Rational numbers are numbers that can be expressed as a fraction, while irrational numbers cannot be expressed as a fraction and have non-repeating, non-terminating decimal representations. In option a), -5 and 0 are rational numbers, while √3 is an irrational number because it cannot be expressed as a fraction or as a decimal that terminates or repeats. 8.0202... is also irrational because it is a decimal that does not terminate or repeat.