Proof by Contrapositive: If n^2 is Even then n is Even

Using the contrapositive, we prove that if n^2 is even then n is even. A proof by contrapositive is not necessary here, we'll touch on how it could be done directly, but this is definitely a case where the contrapositive is more obvious. We'll also recap what the contrapositive actually is, and why we care about it. #Proofs ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: www.patreon.com/join/wrathofmathlessons ◆ Donate on PayPal: www.paypal.me/wrathofmath Thanks to Robert Rennie, Barbara Sharrock, and Rolf Waefler for their generous support on Patreon! Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: crayonangel.bandcamp.com/ Follow Wrath of Math on... ● Instagram: www.instagram.com/wrathofmathedu ● Facebook: www.facebook.com/WrathofMath ● Twitter: twitter.com/wrathofmathedu My Music Channel:    / @emery3050  

• #education
• #wrath_of_math
• #math_lessons
• #math
• #education
• #math_video
• #proofs
• #proof_by_contrapositive
• #n2_even
• #if_n_is_even_proof
• #then_n_is_even_proof
• #n2_even_then_n_is_even
• #contrapositive_proof
• #direct_proof
• #what_is_contrapositive