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Im taking an online course on mathematical thinking, and this question has me stumped.

r is irrational:

Show that r+3 is irrational

Show that 5r is irrational

Show that the square root of r is irrational.

Im sorry if i posted this in the wrong forum, but I am not sure which category these questions fall under. I seriously don't even know where to start.

Btw these questions are under the proofs section of the course.