Question

show that root two is an irrational by contradiction method​

Answer 1

Answer:

1. Euclid's proof starts with the assumption that √2 is equal to a rational number p/q.
2. √2=p/q. Squaring both sides,
3. 2=p²/q² The equation can be rewritten as.
4. 2q²=p² From this equation, we know p² must be even (since it is 2 multiplied by some number). ...
5. 2q²=p²=(2m)²=4m² or. ...
6. q²=2m² ...
7. √2=p/q=2m/2n. ...
8. √2=m/n.