Need to prove:
1.) If x is a real number and x^2=3, then x is irrational.
2.) The proposition "if x is a real number and x^2=4, then x is irrational." is false since x=2=2/1 is rational and 2^2=4. Pinpoint where in the previous argument the proof of this proposition breaks down.
See attached file for full problem description.
Solution This solution is FREE courtesy of BrainMass!
Please see the attached file.