1. By: Anna Adrover, Adriàn González, Joan Prieto and Anna Rodríguez The Poster of the unit
2. INTRODUCTION We are going to Explain How to make a proof Proof the irrationality of the √3
3. HOW TO MAKE A PROOF Steps of a proof 1. Logical reasonigs 2. Basic thruths/statements 3. Already proven statements
4. IRRATIONALITY OF √3 The square root of 3 isn’t rational but to prove it we use the method of contradiction. 1) √3 = p q Integer but not 0 Integer 2) (√3)² = p ² --> 3 = p ² q 2 q 2
5. IRRATIONALITY OF √3 3) 3 x q² = p² x q² --> 3 x q²=p² --> 2 x q x q = p x p THE √ 3 IS IRRATIONAL q 2