Question

Put the steps to the proof that the sum t=r+s
is irrational if r is a rational and s is rational in the correct sequence.

Step 1. Subtract, writing s as a fraction.

Step 2. For a contradiction, assume that t is rational, and write r and t as fractions.

Step 3. Realize a contradiction.

Step 4. Find a common denominator.
Step 3, Step 4, Step 2, Step 1
Step 3, Step 4, Step 2, Step 1

Step 4, Step 2, Step 1, Step 3
Step 4, Step 2, Step 1, Step 3

Step 1, Step 3, Step 2, Step 4
Step 1, Step 3, Step 2, Step 4

Step 2, Step 4, Step 1, Step 3