TheDefect
#Weird rational numbers problem
jaunty treeBOT
halcyon lavaBOT
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wise copper
what have you tried?
wise copper
**TheDefect**
Weird indeed
sly sonnet
**TheDefect**
well, you can start with subtracting both sides of the given inequality by sqrt(2).
wise copper
Well, I know
I generally tried assuming that all fractions a/b such that a<m and b<n are outside (2sqrt2 - m/n, m/n) are obtaining a contradiction
It does not seem to lead anywhere though
Plus I do not know how to incorporate 2|m
consider what happens to n/m if m/n is close to rt(2)
sly sonnet
(quick question, does 2|n mean n is divisible by 2?)
i’ve just seen this notation too often
wise copper
Yes
wise copper
i’ve just seen this notation too often
yes
sly sonnet
okay, thanks
wise copper
consider what happens to n/m if m/n is close to rt(2)
.
then consider what you might do with the information that 2|m
sly sonnet
then consider what you might do with the information that 2|m
couldn’t you just bound k/l and call it a day there?
just wondering as i’m solving it myself
wise copper
how?