@?proof

See Also [[Maths - Proof by Contradiction]]S [[Maths - Proof Roots of Primes are Irrational]]S Backlinks [[Maths - Proof by Contradiction]]S [[Maths - Syllabus]]S Metadata date: 2021-06-06 11:39 tags: - '@?public' - '@?school' - '@?maths' - '@?proof' title: Maths - Proof

See Also [[Maths - Proof Roots of Primes are Irrational]]S [[Maths - Proof]]S Flashcards How can you prove a statement is FALSE by contradiction?? Find a counterexample. How can you prove a statement is TRUE by contradiction?? Negate the statement and assume it’s false. Prove this leads to a contradiction. What would be the negated statement for “if $n^2$ is even, $n$ must be even”?? “there exists an odd number $n$ such that $n^2$ is even”

See Also [[Maths - Proof by Contradiction]]S Flashcards When proving irrationality of a surd $x$, what is the setup?? Assume $x = \frac{a}{b}$ where $a$ and $b$ are integers that do not share any factors. Why can’t $a$ and $b$ share any factors when proving the irrationality of a surd?? Because it would mean you could simplify $\frac{a}{b}$. How do you get rid the square root over $x$ when proving it’s irrationality?