Ma458 Homework 6
This assignment is due next Thursday.
Pythogoras knew that there was no rational number whose square was 2,
- and he didn't show that using number theory or
unique factorization. Greek proofs worked with the diagonal of a unit
square. Find one that does that. Be prepared to present it.
Hint: 2 has a rational square root if and only if there is
an isosceles right triangle with integer sides.
You can use the internet to find a proof - but you'll have to
understand it to present it at the board without notes.
- Silverman 20.1. Easy - it's just computation. Don't bother
turning it in, but use the data.
- Silverman 20.2.
- Silverman 20.3. For those of you who know some Abstract
Algebra - why is part (b) really about the three cosets of a subgroup
Back to the Math 458 home page.