Sprint 4 · Chapter 1

Revisiting Irrational Numbers: Proving Pure Roots

Use contradiction and prime divisibility theorems to formally prove that square roots of primes are irrational.

1. 1The Core Logic of Contradiction
2. 2Prime Divisibility Theorem
3. 3Proof by Contradiction
4. 4Proof: √2 is Irrational
5. 5Proof: √3 is Irrational
6. 6Sequence the Proof for √5
7. 7Complete the √5 Proof
8. 8Substitution Misconception