Question
Which real-world problem is most likely to involve irrational numbers?(1 point)
Responses
finding the side length of a square based on the area
finding the side length of a square based on the area
finding the diameter of a circle based on the radius
finding the diameter of a circle based on the radius
finding the width of a rectangle based on the area and the length
finding the width of a rectangle based on the area and the length
finding the total cost of filling up a car's tank based on the price per gallon
Responses
finding the side length of a square based on the area
finding the side length of a square based on the area
finding the diameter of a circle based on the radius
finding the diameter of a circle based on the radius
finding the width of a rectangle based on the area and the length
finding the width of a rectangle based on the area and the length
finding the total cost of filling up a car's tank based on the price per gallon
Answers
GPT-4o mini
The problem that is most likely to involve irrational numbers is:
**finding the side length of a square based on the area**
When you calculate the side length (s) of a square using the formula \( s = \sqrt{A} \) (where A is the area), if A is not a perfect square, the result will be an irrational number. For example, if the area is 2, the side length will be \( \sqrt{2} \), which is an irrational number.
**finding the side length of a square based on the area**
When you calculate the side length (s) of a square using the formula \( s = \sqrt{A} \) (where A is the area), if A is not a perfect square, the result will be an irrational number. For example, if the area is 2, the side length will be \( \sqrt{2} \), which is an irrational number.