Games
Problems
Go Pro!

# Indirect Proofs

Pro Problems > Math > Logic > Proofs > Indirect Proofs

# Featured Pro Problems Prove by contradiction that the harmonic mean of two positive numbers lies between the two numbers Show that the expression given is an irrational expression Prove that the square root of two is an irrational number using an indirect proof Use an indirect proof method to show that the sum of the given trig functions can't be less than one. Prove a statement about two integers x and y, using an indirect proof method Prove by contradiction that the following statement about integers x,y, and z cannot be true. Prove, using an indirect proof, that there is an infinite number of prime numbers Show that there is no 'smallest' positive rational number using an indirect proof

# Full Directory Listing

A Smaller Fraction, Harmonic Proof, Infinite Primes, Irrational Fraction, Radical Two Proof, Sum of Trig Functions, X Squared Proof, X, Y, and Z proof # Blogs on This Site Reviews and book lists - books we love! The site administrator fields questions from visitors. Like us on Facebook to get updates about new resources