5 ms·
> Between a=5√2 and b=2√13 which one is bigger? No need to memorize square roots here. Simply square both sides and it’s clear that 50 < 52. If x^2 < y^2 then
by koolba 3y ago
> Between a=5√2 and b=2√13 which one is bigger?
No need to memorize square roots here. Simply square both sides and it’s clear that 50 < 52.
If x^2 < y^2 then x < y (ignoring negative numbers…).
More generally, these types of “math tricks” are about solving for the answer. Not solving for the parts of the question. It’s a great lessom for life, especially working in software.
- nomemory 3y agoAuthor here, it's probably what I did, but i am sure i also had to memorize quite a few radicals, and also multiplying numbers up to 40X40 + other tricks to multiply fast.
- koolba 3y agoMemorized non-integer radicals outside of 2, 3, and 5? Those at least come up in geometry. Any idea where I can get more English questions like the ones you’ve listed? They’re quite enjoyable! Though some of your translations are a bit off: > A cube has one of its sides 2cm. The total area of the cube is ... Pretty sure you mean “surface area”.
- nomemory 3y agoThe sources are scarce at least for everything that's older than 2010, but I did started to collect exercises like this from various forgotten places. I plan to put them into a github repo this month. Sorry for the translations. I will try to check them again, and maybe to some corrections.
- alexdowad 3y agoDon't be sorry! I enjoyed your post, and your English is very good. Here's another tiny little nitpick if you want to improve your translation a bit more: In English we don't say "inequation", we say "inequality".
- lordnacho 3y agoWhen you get the repo up, can you tell me? I'm very interested in a summary like that.