Rational numbers in practice

The following exercises are solved in this step.

We invite you to try to solve them before watching the video.

In any case, you will find below a PDF file with the solutions.

Exercise 1.

Prove that (sqrt{5}) is irrational.

Exercise 2.

Prove that (1+sqrt 2) is irrational.

Exercise 3.

Prove that (3sqrt 2) is irrational.