Explore BrainMass

How to prove sqrt(3) is irrational

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 Summary

This solution contain detailed step-by-step information on how to prove sqrt(3) is irrational.