Sheldon is planning on taking a hike through a state park. He has mapped out his route carefully. He plans to hike 3 miles to the scenic overlook, and then he will hike √2 miles to the ranger station, where his brother will pick him up. How far will Sheldon have walked?

To combine these two distances, we will need to examine how to perform some operations with rational and irrational numbers.

Question

Sheldon is planning on taking a hike through a state park. He has mapped out his route carefully. He plans to hike 3 miles to the scenic overlook, and then he will hike √2 miles to the ranger station, where his brother will pick him up. How far will Sheldon have walked?

To combine these two distances, we will need to examine how to perform some operations with rational and irrational numbers.