Question

Which set below contains both rational and irrational numbers?

1) {-4.333..., 0, √25, 7}
2) {-√36, 0, 2.8, 17/3}
3) {-5, 0, √3, 8.0202...}
4) {-5, 0, √16, 4.333...}

Answer 1

Option 2 contains both rational and irrational numbers.

Step-by-step explanation:

The set that contains both rational and irrational numbers is option 2) {-√36, 0, 2.8, 17/3}.

1. -√36 is an irrational number because the square root of 36 is 6 and the negative sign makes it irrational.
2. 0 is a rational number because it can be expressed as 0/1.
3. 2.8 is a rational number because it can be expressed as 28/10.
4. 17/3 is a rational number because it can be expressed as a fraction.

Therefore, option 2) contains both rational and irrational numbers.