Tuesday, June 20, 2017

calculus - Prove the next numbers are irrational

I need to prove the next numbers are irrational:


$$ \sqrt{2}+\sqrt{5} $$ $$\sqrt{3}$$ $$ \log_{2}3 $$


Of course, I tried to prove it with negative evidence...

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analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...