Prove the following statement by contradiction:
1) for all real numbers r, if r is rational then r √2 is irrational ( you may use the fact that √2 is irrational)

Pyotr tchaikovsky sporting goods operates on a 45% overhead based on the selling price, which results in an overhead of $65.34 on the newest version of an air hockey game set. if the air hockey game set costs pyotr tchaikovsky sports $49.32, find the selling price, the markup, and the net profit.